hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Glossary of Lie groups and Lie algebras
This is a glossary for the terminology applied in the mathematical theories of Lie groups and Lie algebras. For the topics in the representation theory of Lie groups and Lie algebras, see Glossary of representation theory. Because of the lack of other options, the glossary also includes some generalizations such as quantum group.

Notations:

Throughout the glossary,  denotes the inner product of a Euclidean space E and  denotes the rescaled inner product

Semisimple Lie algebra
In mathematics, a Lie algebra is semisimple if it is a direct sum of simple Lie algebras. (A simple Lie algebra is a non-abelian Lie algebra without any non-zero proper ideals.)

Throughout the article, unless otherwise stated, a Lie algebra is a finite-dimensional Lie algebra over a field of characteristic 0. For such a Lie algebra , if nonzero, the following conditions are equivalent:

is semisimple;

the Killing form  is non-degenerate;

has no non-zero abelian ideals;

has no non-zero solvable ideals;

the radical (maximal solvable ideal) of  is zero.
SS Ulysses (1914)
The SS Ulysses (Panama Collier No. 1) was the first of two steel-hulled, twin screw colliers  constructed at Sparrows Point, Maryland by the Maryland Steel Company for the Panama Canal Company. The ships were to a Navy design and built under naval supervision but with major differences from the two previously constructed Navy colliers, Jason and Orion. Unlike the Navy ships and many colliers the ships had ten cargo handling king posts rather than the tall, specialized coaling booms as the ships were designed to transport coal to the Panama Canal and be unloaded by equipment there.

USS Orion (AC-11)
USS Orion (AC–11) was a collier of the United States Navy. The ship was laid down by the Maryland Steel Co., Sparrows Point, Maryland, on 6 October 1911, launched on 23 March 1912, and commissioned at Norfolk on 29 July 1912.
Occupational therapy in the management of seasonal affective disorder
Occupational therapy is used to manage the issues caused by seasonal affective disorder (SAD). Occupational therapists assist with the management of SAD through the incorporation of a variety of healthcare disciplines into therapeutic practice. Potential patients with SAD are assessed, treated, and evaluated primarily using treatments such as drug therapies, light therapies, and psychological therapies. Therapists are often involved in designing an individualised treatment plan that most effectively meets the client's goals and needs around their responsiveness to a variety of treatments.

Occupational therapists often have the primary responsibility of informing individuals with SAD of the etiology, prevalence, symptoms, and occupational performance issues caused by the disorder, as well as possibilities for positive intervention. The main symptom of SAD targeted is low energy levels, remedied with fatigue management and energy conservation strategies.

Behavioral activation
Behavioral activation is a form of psychotherapy that emphasizes engaging in potentially mood-boosting activities. It involves the understanding of an individual's specific behaviors and the use of methods, such as planning, to enable them to overcome avoidance.

As a psychotherapeutic modality, it is considered a form of clinical behavior analysis, or third-generation behavior therapy. It owes its basis to Charles Ferster's Functional Analysis of Depression (1973), which developed B. F. Skinner's idea of depression. The theory holds that not enough environmental reinforcement or too much environmental punishment can contribute to depression. The goal of the intervention is to increase environmental reinforcement and reduce punishment.

Behavioral activation is often used in cognitive behavioral therapy. It is also used in applied behavior analysis, clinical behavior analysis, and functional analytic psychotherapy.
1998 PBA All-Filipino Cup finals
The 1998 PBA All Filipino Cup finals was the best-of-7 basketball championship series of the 1998 PBA All-Filipino Cup, and the conclusion of the conference's playoffs. The Alaska Milkmen and San Miguel Beermen played for the 69th championship contested by the league as the country celebrates its centennial year. The champion for this finals series were awarded with two different trophies; the regular All-Filipino Cup trophy and the FVR Centennial Cup trophy.

The Alaska Milkmen regain the All-Filipino Cup crown with a 4–3 series victory against the San Miguel Beermen and repeated as back-to-back champions, winning their 8th PBA title.

Kenneth Duremdes won on his first finals MVP in All-Filipino Cup finals.

1998 PBA All-Filipino Cup
The 1998 Philippine Basketball Association (PBA) Centennial All-Filipino Cup, also known as the 1998 McDonald's-PBA All-Filipino Cup for sponsorship reasons, was the first conference of the 1998 PBA season. It started on February 1 and ended on May 8, 1998. The tournament is an All-Filipino format, which doesn't require an import or a pure-foreign player for each team.
Baldrine railway station
Baldrine Station (Manx: Stashoon Raad Yiarn Valley Drine) is a railway halt in the Isle of Man. It is an intermediate request stop on the east coast route of the Manx Electric Railway in the village of Baldrine in the parish of Lonan, on the route to Ramsey.

Manx Electric Railway
The Manx Electric Railway (Manx: Raad Yiarn Lectragh Vannin) is an electric interurban tramway connecting Douglas, Laxey and Ramsey in the Isle of Man. It connects with the Douglas Bay Horse Tramway at its southern terminus at Derby Castle at the northern end of the promenade in Douglas, and with the Snaefell Mountain Railway at Laxey. Many visitors take an excursion on the trams. It is the oldest electric tram line in the world whose original rolling stock is still in service.
War of 1863
The War of 1863 (Spanish: Guerra de 1863) was a conflict fought between El Salvador and Guatemala from 13 February 1863 to 26 October 1863.

Guatemalan President Rafael Carrera sought to overthrow Salvadoran President Gerardo Barrios, citing his attacks on the Catholic Church in El Salvador during his presidency as justification. Barrios was overthrown on 26 October 1863 and was replaced by a conservative politician, Francisco Dueñas, ending the war.

Coatepeque, El Salvador
Coatepeque (Nawat: kuātepēk) is a district in the municipality of Santa Ana Este in the Santa Ana department of El Salvador. It is above El Congo, south of the department's capital and is bordered by the department of La Libertad in the East.
Samuel Rodriguez
Samuel Rodriguez is an American  Evangelical Christian leader raised Puerto Rican parents in the United States. He is a pastor, movie producer, author, civil rights activist and television personality. He is the president of the National Hispanic Christian Leadership Conference.

White House Office of Faith-Based and Neighborhood Partnerships
The White House Office of Faith-Based and Neighborhood Partnerships, formerly known as the Office of Faith-Based and Community Partnerships, was an office within the White House Office that was part of the Executive Office of the President of the United States.

The office was established by the George W. Bush administration in 2001.  During the first Trump administration, it was inactive and replaced by an initiative centered around Centers for Faith and Opportunity Initiatives.  It was reinstated by the Biden administration, but abolished by the second Trump administration and replaced with the White House Faith Office.
Gao Jixing
Gao Jixing (Chinese: 高季興) (858 – January 28, 929), born Gao Jichang (高季昌), known for some time as Zhu Jichang (朱季昌), courtesy name Yisun (貽孫), also known by his posthumous name as the Prince Wuxin of Chu (楚武信王), was the founding prince of Jingnan during the Five Dynasties and Ten Kingdoms period of China.

Later Tang
Tang, known in historiography as the Later Tang (Chinese: 後唐; pinyin: Hòu Táng), was a short-lived imperial dynasty of China and the second of the Five Dynasties during the Five Dynasties and Ten Kingdoms period in Chinese history.

With the exception of its final ruler, the Later Tang was ruled by ethnically Shatuo Turk (沙陀) emperors. The name Tang was used to legitimize itself as the restorer of the Tang dynasty.  The official start of the Later Tang dynasty is in the year 923.
Lloyd Center for the Environment
The Lloyd Center for the Environment is a non-profit organization that provides educational programs on aquatic environments in southeastern New England in the United States.

The Lloyd Center’s 55 acres (220,000 m2) of estuary and maritime forest in South Dartmouth, Massachusetts, was donated to the Dartmouth Natural Resources Trust in 1978 by Karen Lloyd as a living memorial to her mother, Katharine Nordell Lloyd. Lloyd Center programming began in 1981. Five walking trails offer scenic views of the Slocum River, Buzzards Bay, Demarest Lloyd State Park, Mishaum Point, and Cuttyhunk Island.  The Chaypee Woods Trail snakes its way through stone walls that hearken back to farming days when dairy cattle, ducks, and chickens were raised there.  Steep steps and slopes mix with the vistas of the salt marsh, oak-hickory forest, freshwater wetlands, kettleholes, moraine, and a Native American midden site.

Demarest Lloyd State Park
Demarest Lloyd State Park is a public recreation area located on Buzzards Bay in the town of Dartmouth, Massachusetts. The park's 200 acres (81 ha) include both an ocean beach and seaside marshlands near the mouth of the Slocums River. The state park is managed by the Massachusetts Department of Conservation and Recreation.
American Education
American Education: The National Experience, 1783–1876 is a 1980 nonfiction book by American historian Lawrence A. Cremin, published by Harper & Row. The book is the second volume in Cremin's trilogy on US schools throughout the nation's history. In 1981, the book won the Pulitzer Prize for History.

The book is treated as a failure by Sol Cohen and most reviewers. They argued it covers too much ground– all of cultural history– too thinly.

Pulitzer Prize for History
The Pulitzer Prize for History, administered by Columbia University, is one of the seven American Pulitzer Prizes that are annually awarded for Letters, Drama, and Music. It has been presented since 1917 for a distinguished book about the history of the United States. Thus it is one of the original Pulitzers, for the program was inaugurated in 1917 with seven prizes, four of which were awarded that year. The Pulitzer Prize program has also recognized some historical work with its Biography prize, from 1917, and its General Nonfiction prize, from 1962.

Finalists have been announced since 1980, ordinarily two others beside the winner.
2020 Copa do Brasil first round
The 2020 Copa do Brasil first round was the first round of the 2020 Copa do Brasil football competition. It was played from 5 to 26 February 2020. A total of 80 teams competed in the first round to decide 40 places in the second round of the tournament.

2020 Copa do Brasil second round
The 2020 Copa do Brasil second round was the second round of the 2020 Copa do Brasil football competition. It was played from 18 February to 5 March 2020. A total of 40 teams competed in the second round to decide 20 places in the third round of the 2020 Copa do Brasil.
RKSV Nuenen
RKSV Nuenen is a football club from Nuenen, Netherlands. The first squad of Nuenen is playing in the Sunday Hoofdklasse (5th tier) since 2016. The first women squad plays in the Hoofdklasse for women (3rd tier) since 2014 or 2015.

KNVB Cup
The KNVB Beker (pronounced [ˌkaːʔɛɱveːˈbeː ˈbeːkər]; English: KNVB Cup), branded as the Eurojackpot KNVB Beker for sponsorship reasons, is a competition in the Netherlands organised by the Royal Dutch Football Association (KNVB) since 1898. It was based on the format of the English FA Cup. Outside the Netherlands, it is often referred to as the Dutch Cup. The tournament consists of all teams from the top four tiers of Dutch league football (Eredivisie, Eerste Divisie, Tweede Divisie and Derde Divisie), as well as the 24 semi-finalists (or replacements) of the six KNVB District Cups. The finals of the tournament traditionally takes place in De Kuip, and has been held there every season since the 1989 final. The winners of the cup compete against the winners of the Eredivisie for the Johan Cruyff Shield, (equivalent to a super cup) which acts as the curtain raiser for the following season.
1979 Kvalserien
The 1979 Kvalserien was the fifth edition of the Kvalserien. It determined which two teams of the participating ones would play in the 1979–80 Elitserien season and which three teams would play in the 1979–80 Swedish Division 1 season.

Kvalserien
Kvalserien, also known as Kvalserien till SHL, was the Swedish round-robin ice hockey tournament to qualify for play in the next season of the Swedish Hockey League (SHL, previously named Elitserien), Sweden's top-level ice hockey league for men. It was replaced by a playoff round in the 2014–15 season.
WTA Indian Open
The Chennai Open, also known as the WTA Indian Open, is a tournament for professional female tennis players, held since 2003 in various Indian cities. It is a WTA Tour event played on outdoor hardcourts.

Following the restructuring of the WTA Tour in 2009, there were no WTA tournaments in India until 2022 (except some WTA Challengers), when the tournament came back as a WTA 250 event, called the Chennai Open. 
After a three-year hiatus the tournament did return when the WTA announced that it would make a comeback the last week of October 2025.

WTA 125 tournaments
WTA 125 tournaments are an international series of professional women's tennis tournaments organized by the Women's Tennis Association since 2012.
Also called the WTA Challengers (analogous to the trademarked men's ATP Challenger Tour), the WTA 125 is the second highest level of women's competition, below the top-tier WTA Tour, and above the ITF Women's World Tennis Tour tournaments.

Players who succeed in the WTA 125 tournaments earn sufficient overall WTA ranking points to become eligible for the main draw or qualifying draw entry of WTA Tour tournaments. Results such as titles won at a WTA 125 event are separately counted from the same player's achievements at WTA Tour level tournaments. However match results from WTA 125 events are counted and added into WTA players' overall head-to-head win/loss statistics.
1992 Davis Cup
The 1992 Davis Cup (also known as the 1992 Davis Cup by NEC for sponsorship purposes) was the 81st edition of the Davis Cup, the most important tournament between national teams in men's tennis. 93 teams would enter the competition, 16 in the World Group, 21 in the Americas Zone, 23 in the Asia/Oceania Zone, and 33 in the Europe/Africa Zone. Due to the increased number of entries, the tournament was expanded to add a Group III in all zones, with promotion and relegation between it and Group II. Puerto Rico and Qatar made their first appearances in the tournament, and former champions South Africa returned to the tournament for the first time since 1978.

The United States defeated Switzerland in the final, held at the Tarrant County Convention Center in Fort Worth, Texas, United States, on 4–6 December, to win their 30th title overall.

1978 Davis Cup
The 1978 Davis Cup was the 67th edition of the Davis Cup, the most important tournament between national teams in men's tennis. 50 teams entered the competition, 29 in the Europe Zone, 10 in the Americas Zone, and 11 in the Eastern Zone.

The United States defeated Chile in the Americas Inter-Zonal final, Australia defeated New Zealand in the Eastern Zone final, and Great Britain and Sweden were the winners of the two Europe Zones, defeating Czechoslovakia and Hungary respectively.

In the Inter-Zonal Zone, the United States defeated Sweden and Great Britain defeated Australia in the semifinals. The United States then defeated Great Britain in the final to win their 25th title overall and their first since 1972. The final was held at the Mission Hills Country Club in Rancho Mirage, California, United States on 8–10 December.
City Stadium (Lynchburg)
Lynchburg City Stadium is a sports venue located in Lynchburg, Virginia, and is home to the Lynchburg City Schools athletic programs mainly for football. City Stadium was built in 1939 along with the baseball stadium Bank of the James Stadium. The Liberty Flames football program called the place home for 16 seasons until 1989, when the program moved back on campus to Williams Stadium.

Over the years the stadium has been untouched, which left the stadium in disrepair. In 2014, the city decided to renovate the aging stadium, starting by replacing the natural grass with artificial turf. Other upgrades to the stadium included the press box, scoreboards, bleachers, PA system and other amenities. The renovations were slated to be completed in August 2016. The stadium work completed in time for fall football in September 2016.

Liberty Flames football
The Liberty Flames football  program represents Liberty University, a private Christian university located in Lynchburg, Virginia, in college football. The Flames compete in the NCAA Division I Football Bowl Subdivision (FBS) as a member of Conference USA. The program, which previously competed in the Football Championship Subdivision (FCS), announced it would start a transition to the top level of NCAA football in July 2017. The Flames became a provisional FBS member in 2018, and became a full FBS member with bowl eligibility in 2019. In 2020, Liberty entered the rankings in the AP Poll at 25 for the first time in program history.

In 2021, Liberty University announced the Flames would become full members of Conference USA effective for the 2023 football season.
2018 Nevada elections
Elections were held in Nevada on November 6, 2018. On that date, the state held elections for Governor, Lieutenant Governor, Attorney General, Secretary of State, Treasurer, Controller, U.S. Senate, U.S. House of Representatives, Nevada Senate, Nevada Assembly, and various others. In addition, several measures were on the ballot.

Lidia S. Stiglich
Lidia Shenade Stiglich (born November 12, 1969) is an American attorney and jurist serving as a justice of the Supreme Court of Nevada since 2016. She was appointed by Governor Brian Sandoval on November 10, 2016.
Stereo "360 Sound"
Stereo "360 Sound" is the self-released debut album by Superdrag. It was originally released exclusively on cassette tape in April 1994 with just six tracks. It was re-released in 1998 on CD with four additional tracks from out-of-print 7-inch records and other unreleased songs. As such, they amended the album title to Stereo "360 Sound" + seven inches & unreleased for the 1998 release.

Mitch Miller
Mitchell William Miller (July 4, 1911 – July 31, 2010) was an American choral conductor, record producer, record-industry executive, and professional oboist. He was involved in almost all aspects of the industry, particularly as a conductor and artists and repertoire (A&R) man. Miller was one of the most influential people in American popular music during the 1950s and early 1960s, both as the head of A&R at Columbia Records and as a best-selling recording artist with an NBC television series, Sing Along with Mitch. A graduate of the Eastman School of Music of the University of Rochester in the early 1930s, Miller began his musical career as a player of the oboe and English horn, making numerous highly regarded classical and popular recordings.
Red Frame/White Light
"Red Frame/White Light" is the second single by the English electronic band Orchestral Manoeuvres in the Dark (OMD). The song is about a red telephone box in Meols, on the North West England in North West England, that was used by the band to make calls to organise their gigs in the late 1970s. The track is composed of two alternating major/minor sections, each built around a synthesiser hook. Lyrical content is minimal, comprising mostly brief, spoken word utterances. It was the band's first single to chart.

The song had previously never been included in any of the band's compilation albums (except for the music video being included on the DVD of Messages: Greatest Hits in 2008) until 2019, when it appeared as part of Souvenir – The Singles 1979–2019.

North West England
North West England is one of nine official regions of England and consists of the ceremonial counties of Cheshire, Cumbria, Greater Manchester, Lancashire and Merseyside. The North West had a population of 7,417,397 in 2021. It is the third-most-populated region in the United Kingdom, after the South East and Greater London. The largest settlements are Manchester and Liverpool. It is one of the three regions, alongside North East England and Yorkshire and the Humber, that make up Northern England.
2002 V8 Supercars Eastern Creek round
The 2002 Eastern Creek V8 Supercar round was the third round of the 2002 V8 Supercar Championship Series. It was held on the weekend of 26 to 28 April at the Eastern Creek Raceway, New South Wales Australia.

The round was dominated by Mark Skaife, who took pole position and won every race of the weekend. These results helped further cement his lead in the championship. Marcos Ambrose was second for the round whilst the podium was rounded out by Craig Lowndes.

2002 V8 Supercar Championship Series
The 2002 V8 Supercar Championship Series was an Australian based motor racing series for V8 Supercars. It began on 15 March 2002 at the Adelaide Street Circuit and ended on 1 December at Sandown International Raceway after 13 rounds. It was the fourth V8 Supercar Championship Series but the first to carry that name, previous championships having been contested as the Shell Championship Series. The winner of the Drivers Championship, Mark Skaife, was also awarded the 43rd Australian Touring Car Championship.
Magnesium transporter E
Magnesium transporters E (MgtE) are a family of transmembrane eubacterial MgtE magnesium transporters. Related regions are found also in archaeal and eukaryotic proteins. They have sizes that vary considerably from 311 residues for the Methanococcus thermoautotrophicum protein, 463 residues for a Synechocystis homologue, and 513 residues for the human homologue, SLC41A1. These proteins are capable of transporting Mg2+ and Co2+ but not Ni2+. Multiple alignments contain two highly conserved aspartates that may be involved in cation binding.

Human transporters from this family are SLC41A1, SLC41A2 and SLC41A3.

SLC41A1
SLC41A1 is a protein that in humans is encoded by the gene SLC41A1. It is homologous to the prokaryotic Mg++ transfer protein MgtE

Mutations in this gene have been associated to Nephronophthisis-like phenotypes.
Tim Hinkley
Timothy Alan Hinkley (25 May 1946 – 21 August 2024) was an English singer-songwriter, keyboardist and record producer. Born in London, Hinkley started playing in youth club bands in the early 1960s, with bands including the Copains, Boys and the Freeman Five. During this time he turned down an offer to join the Konrads, which featured Davy Jones, who later changed his name to David Bowie. Other early associations were with the Bo Street Runners, Chicago Blues Line and Patto's People.

Alexis Korner
Alexis Andrew Nicholas Koerner (19 April 1928 – 1 January 1984), known professionally as Alexis Korner, was a British blues musician and radio broadcaster, who has sometimes been referred to as "a founding father of British blues". A major influence on the sound of the British music scene in the 1960s, he was instrumental in the formation of several notable British bands including the Rolling Stones and Free. Korner was inducted into the Rock and Roll Hall of Fame in the musical influence category in 2024.