hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Monomial representation
In the mathematical fields of representation theory and group theory, a linear representation  (rho) of a group  is a monomial representation if there is a finite-index subgroup  and a one-dimensional linear representation  of , such that  is equivalent to the induced representation .

Alternatively, one may define it as a representation whose image is in the monomial matrices.

Here for example  and  may be finite groups, so that induced representation has a classical sense. The monomial representation is only a little more complicated than the permutation representation of  on the cosets of . It is necessary only to keep track of scalars coming from  applied to elements of .

Rho
Rho (/ˈroʊ/ ⓘ; uppercase Ρ, lowercase ρ or ϱ; Greek: ρο or ρω) is the seventeenth letter of the Greek alphabet. In the system of Greek numerals it has a value of 100. It is derived from the Phoenician letter resh . Its uppercase form uses the same glyph, Ρ, as the distinct Latin letter P; the two letters have different Unicode encodings.
Lomax African Methodist Episcopal Zion Church
Lomax African Methodist Episcopal Zion Church is an historic African Methodist Episcopal Zion church located at 2704 24th Rd. South in Arlington, Virginia. It was built in 1922, and is a one-story, three bay by six bay, brick church building on a parged concrete foundation.  It features two unequal-sized crenellated towers and brick buttresses along the facade and side elevations in the Late Gothic Revival style. Also on the property are two contributing resources, including a cemetery dating from circa 1894, and a parsonage built in 1951. The cemetery contains approximately 107 interments.

It was listed on the National Register of Historic Places in 2004.

African Methodist Episcopal Zion Church
The African Methodist Episcopal Zion Church, or the AME Zion Church (AMEZ) is a historically African-American Christian denomination based in the United States. It was officially formed in 1821 in New York City, but operated for a number of years before then. The African Methodist Episcopal Zion Church adheres to Wesleyan-Arminian theology.

The AME Zion Church is not to be confused with the similarly named African Methodist Episcopal Church, which was officially formed in 1816 by Richard Allen and Daniel Coker in Philadelphia. The denomination was made up of AME churches in the Philadelphia region, including Delaware and New Jersey. Though the African Methodist Episcopal Zion Church was founded to grant equal rights to African Americans in Methodist Christianity, its church membership is composed of people of all racial backgrounds.
Wyoming Highway 377
Wyoming Highway 377 (WYO 377) was a short 1.96-mile-long (3.2 km) Wyoming state road in central Sweetwater County that served the community of Point of Rocks and the Jim Bridger Power Plant. It was decommissioned in 2017.

Point of Rocks, Wyoming
Point of Rocks is an unincorporated community in Sweetwater County, Wyoming, United States. As of the 2000 census, Point of Rocks had a total population of three, when it was a census-designated place (CDP).
Warre baronets
The Warre Baronetcy, of Hestercombe in the County of Somerset, was a title in the Baronetage of England. It was created on 2 June 1673 for Francis Warre, subsequently Member of Parliament for Bridgwater and Taunton. He was the only son of Sir John Warre, of Hestercombe House, Taunton, Somerset, a Knight of the Shire for Somerset. Sir Francis had no surviving male issue and the title became extinct on his death in 1718. His daughter and heiress, Margaret, married John Bampfylde. Their son, Coplestone Warre Bampfylde, succeeded to the family estates.;

Somerset (UK Parliament constituency)
Somerset was a parliamentary constituency in Somerset, which returned two Members of Parliament (MPs), known traditionally as knights of the shire, to the House of Commons of England until 1707, the House of Commons of Great Britain from 1707 to 1800, and the House of Commons of the United Kingdom from 1801 to 1832.

Elections were held by the bloc vote system.
Alcamarinayoc
Alcamarinayoc (possibly from Aymara and Quechua allqamari mountain caracara) or Colque Cruz (possibly from Aymara and Quechua qullqi money, silver, Spanish cruz cross) is a 6,102-metre-high (20,020 ft) mountain in the Vilcanota mountain range in the Andes of Peru. It is situated in the Cusco Region, Quispicanchi Province,  Ocongate District. Alcamarinayoc lies northwest of the peak of Chumpe, north of Quevesere and northeast of Ichhu Ananta.

Department of Cusco
Cusco,  also spelled Cuzco (Spanish pronunciation: [ˈkusko]; Aymara and Quechua: Qusqu [ˈqɔsqɔ]), is a department of Peru. It is the fourth-largest in the country, after Madre de Dios, Ucayali, and Loreto, and borders the departments of Ucayali on the north; Madre de Dios and Puno on the east; Arequipa on the south; and Apurímac, Ayacucho and Junín on the west. It is administered by a regional government. Its capital is Cusco, the historical capital of the Inca Empire.
SanTan Village
SanTan Village is an open-air, super regional lifestyle center located in Gilbert, Arizona that spans 1,200,000 square feet (110,000 m2) of gross leasable area. It sits at the core of a 500-acre (2.0 km2) project that, upon planned full build out, will encompass 3,000,000 square feet (280,000 m2) of retail, restaurants, entertainment, office space, residential and hotel uses. It was the last mall to be developed by Westcor and is still owned by Macerich.

The mall features the traditional retailers Macy's, Dillard's, Dick's Sporting Goods, Best Buy, Barnes & Noble in addition to a 16-screen Harkins Theatres.

The SanTan Village Marketplace, located south of the mall, is an urban village mixed with many other retail and restaurant areas designed for urban shopping.

Dillard's
Dillard's, Inc. is an American department store chain founded in 1938 by William T. Dillard. It is headquartered in Little Rock, Arkansas, and operates approximately 272 stores in 30 states. Currently, the largest number of stores are located in Texas with 57 and Florida with 42.
2016 Ethias Trophy
The 2016 Ethias Trophy was a professional tennis tournament played on hard courts. It was the twelfth edition of the tournament which was part of the 2016 ATP Challenger Tour. It took place in Mons, Belgium between 3 October and 9 October 2016.

Ethias Trophy
The Ethias Trophy was a professional tennis tournament played on indoor hardcourts. It was part of the Association of Tennis Professionals (ATP) Challenger Tour. It was also part of the Tretorn SERIE+ of the Challenger Tour. It was held annually in Mons, Belgium from 2005 until 2016.
Paralopostega callosa
Paralopostega callosa is a moth of the family Opostegidae. It was first described by Otto Swezey in 1921. It is endemic to the Hawaiian island of Oahu, where it is thought to be widespread in the Koʻolau Range.

Koʻolau Range
Koʻolau Range (koʻolau means "windward" in Hawaiian) is the dormant fragmented remnant of the eastern or windward shield volcano of the Hawaiian island of Oʻahu. It was designated a National Natural Landmark in 1972.
Round the Horne: List of programmes
Round the Horne is a BBC Radio comedy programme that was transmitted in four series of weekly episodes from 1965 until 1968. The show was created by Barry Took and Marty Feldman, who wrote the first three series. The fourth was written by Took, Johnnie Mortimer, Brian Cooke and Donald Webster. Round the Horne starred Kenneth Horne, with Kenneth Williams, Hugh Paddick, Betty Marsden and Bill Pertwee. The following list shows the dates of first broadcasts and some of the principal items in each programme.

Johnnie Mortimer
John Edward Mortimer (2 July 1930 – 2 September 1992) was a British scriptwriter for British TV whose work, along with creative writing partner Brian Cooke, also served as inspiration for American television projects.
Cooperstown Graduate Program
The Cooperstown Graduate Program (CGP) is the first and oldest dedicated museum studies program within the United States. It provides a Master of Arts degree in Museum Studies, with concentrations in science museum studies and history museum studies. Part of the State University of New York at Oneonta, the Cooperstown Graduate Program is located in Cooperstown, known as the "village of museums." It is considered an important part of the development of public history within the United States.

Science museum
A science museum is a museum devoted primarily to science. Older science museums tended to concentrate on static displays of objects related to natural history, paleontology, geology, industry and industrial machinery, etc. Modern trends in museology have broadened the range of subject matter and introduced many interactive exhibits. Modern science museums, increasingly referred to as "science centres" or "discovery centres", also feature technology.

While the mission statements of science centres and modern museums may vary, they are commonly places that make science accessible and encourage the excitement of discovery.
Lists of mountains
Mountains are listed according to various criteria:

List of mountains by elevation
List of highest mountains greater than 7,200 metres (23,622 ft) above sea level
List of past presumed highest mountains
List of highest unclimbed peaks
List of volcanoes by elevation

Topographic prominence
List of mountain peaks by prominence
Ultra-prominent peak

Summits farthest from the Earth's center

Lists of highest points restricted to a specific geographic area
List of countries by highest point
List of islands by highest point

Lists of mountains by region sorted by country or province
Seven Summits, the highest peak on each continent
Seven Second Summits, the second-highest peak on each continent
Seven Third Summits, the third-highest peak on each continent

List of tallest mountains in the Solar System
List of mountains on Mars by height

List of mountain types sorted by geological origin

List of mountain ranges organized into mountain ranges

Seven Third Summits
The Seven Third Summits are the third-highest mountains of each of the seven continents. All of these mountain peaks are separate peaks rather than a sub-peak of the continents' high point. Christian Stangl from Austria became the first person to reach the summit of all seven third summit mountains after climbing Puncak Mandala and Puncak Trikora. He did this as a part of his "Triple Seven Summits" project, the three highest peaks of every continent. Because of glacial melting and the disagreement over exactly which three peaks are the tallest in the Australian continent, Stangl also climbed several additional candidate peaks including Sumantri (4,870 m (15,978 ft)), Ngga Pulu (4,862 m (15,951 ft)), and Mount Twynam (2,195 m (7,201 ft)).
Brimfield High School
Brimfield High School, or BHS, is a public four-year high school at 323 East Clinton Street in Brimfield, Illinois, a village in Peoria County, Illinois, in the Midwestern United States. BHS is part of Brimfield Community Unit School District 309, which serves the communities of Brimfield, Kickapoo, and Edwards, and also includes Brimfield Grade School. The campus is located 15 miles northwest of Peoria, IL, and serves a mixed village and rural residential community. The school lies within the Peoria metropolitan statistical area.

Kickapoo, Illinois
Kickapoo is an unincorporated community in Kickapoo Township, Peoria County, Illinois, United States. Kickapoo is located on U.S. Route 150, 10.8 miles (17.4 km) northwest of downtown Peoria.

It was named after the Kickapoo people.
Razhukhrielie Kevichüsa
Razhukhrielie Kevichüsa Meru (/ˈkɛvitʃsə/; 21 October 1941 – 20 August 2022) was an Indian bureaucrat and musician from Nagaland. He served the Government of Nagaland as the administrative head of many significant departments in the state until his retirement in 2001. He was also a music composer and has composed a number of Angami gospel and secular songs, notably "Lie Me Re Vi Zhüte" and "Khrüthemvü", his most popular composed songs.

Angami language
Angami, also called Tenyidie, is a Naga language spoken in the Naga Hills in the northeastern part of India, in Kohima district, Nagaland. In 2011, there is an estimate of 153,000 first language (L1) Angami speakers. Under the UNESCO's Language Vitality and Endangerment framework, Angami is at the level of "vulnerable", meaning that it is still spoken by most children, but "may be restricted to certain domains".
Lacul Negru (Ocna Sibiului)
Lacul Negru (meaning the black lake) is a natural salt lake in the town of Ocna Sibiului, Sibiu County, Transylvania, Romania. It is one of the many lakes of the Ocna Sibiului mine, a large salt mine which has one of the largest salt reserves in Romania. It has one of the smallest depths of all the lakes, with its maximum depth only reaching about 1 metre (3 ft 3 in).

Ocna Sibiului
Ocna Sibiului (German: Salzburg; Hungarian: Vízakna) is a town in the centre of Sibiu County, in southern Transylvania, central Romania, 10 km (6.2 mi) to the north-west of the county seat, Sibiu. The town administers a single village, Topârcea (Tschapertsch; Toporcsa).

The first spa resort was established here in 1845, and since then Ocna Sibiului has earned a reputation thanks to its heliothermal lakes formed on the site of old salt mines that had collapsed.

There are several salt lakes (former collapsed salt mines) on the salt massif.

The temperate climate, aerosol-rich air, annual temperatures above the regional average, and recent renovations of the spa infrastructure have helped restore the town’s popularity as a health resort.

Ocna Sibiului is also of archaeological interest: Bronze Age tools (dating from approximately 1900–800 BC) have been discovered in the area and are currently exhibited at the Brukenthal Museum in Sibiu.
Michel Baudouin
Michel Baudouin (Baudoin), (16 March 1691 – 1768), a Jesuit missionary, was born at Quebec and was the brother of Gervais Baudoin and son of Gervais Baudouin.

Michel began his Jesuit noviciate at Bordeaux, France in 1713 and previous to that had completed his college and philosophy studies, probably in Canada. By 1715 he was teaching and was ordained a priest in 1725. In 1728 he was posted to the missions in Louisiana.

In Louisiana, Baudouin was assigned to the Choctaw Mission, where he remained for eighteen years. From 1749 until 1763, he was Superior-General of the Louisiana mission. At that time the expulsion of the Jesuits was taking place in that area but the priest was allowed to remain. He retired and died in New Orleans. According to sources, he was a dedicated priest and gentle man who served his country, his faith, and the people to whom he ministered.

Choctaw
The Choctaw (Choctaw: Chahta Choctaw pronunciation: [tʃahtá(ʔ)]) people are one of the Indigenous peoples of the Southeastern Woodlands of the United States, historically based in what is now Louisiana, Mississippi, and Alabama. The Choctaw language is a Western Muskogean language. Today, Choctaw people are enrolled primarily in three federally recognized tribes: the Choctaw Nation of Oklahoma, the Mississippi Band of Choctaw Indians, and the Jena Band of Choctaw Indians in Louisiana. The Yowani Choctaw, a historic Choctaw band, are federally recognized as a people within the Caddo Nation and are also enrolled as citizens of the Choctaw Nation of Oklahoma and the Mississippi Band of Choctaw Indians. Choctaw descendants are also members of other tribes.
2024 constitutional reform attempts in the Philippines
Several attempts to enact constitutional reform have taken place in the Philippines in 2024. This originated with President Bongbong Marcos and his allies' efforts.

The political dispute has been characterized by the conflict between the upper and lower houses of the Congress of the Philippines. The House of Representatives is in favor of amending the constitution, while the Senate is opposed to it, with the latter being supported by several high profile politicians such as former president and Marcos' predecessor Rodrigo Duterte.

Sonny Angara
Juan Edgardo "Sonny" Manalang Angara (Tagalog: [aŋˈɡara]; born July 15, 1972) is a Filipino lawyer and politician who has since 2024 served as the 54th secretary of education. He has concurrently served as chairman of the Samahang Basketbol ng Pilipinas since 2016 and as the president of the Laban ng Demokratikong Pilipino since 2018.

A graduate of the London School of Economics and the University of the Philippines College of Law, Angara entered politics in 2004 after being elected as the representative of Aurora's at-large district, a seat he would hold until 2013. During his tenure, he supported the impeachment of Renato Corona and acted deputy spokesperson of the House prosecution panel. Angara was elected to the Senate of the Philippines in 2013 and served until 2024 before resigning to become the secretary of education.
Encadenados (1988 TV series)
Encadenados (English title: Notorious) is a Mexican telenovela produced by Ernesto Alonso for Televisa in 1988. Its original story of Marissa Garrido was based on Wuthering Heights by British author Emily Brontë and directed by Julio Castillo.

Christian Bach and Humberto Zurita starred as protagonists, while Sergio Jiménez, Julieta Rosen and Leonardo Daniel starred as antagonists.

Ernesto Alonso
Ernesto Alonso (February 28, 1917 – August 7, 2007) was a Mexican producer, director, cinematographer and actor. He was nicknamed "El Señor Telenovela" ("Mr. Soap Opera") because most of his work centered on telenovelas known around the world.
Harley Dickinson
Harley Rivers Dickinson (20 October 1938 – 4 April 2008) was an Australian politician.

Dickinson was born in the Melbourne suburb of Richmond to Rivers Arthur Dickinson, a solicitor, and Dolina Marion Arbuckle. He attended Croydon State School and then The Geelong College, and graduated from the Australian School of Pacific Administration. He was part of a pioneer expedition to Mount Fubilan in Papua New Guinea in June 1958, and was an officer in the department of the Administrator of Papua and New Guinea until 1970.

On 28 November 1964, he married Nicola Charlotte Nina Payne, with whom he had four children. In 1976, he returned to Australia to become assistant secretary of the Victorian Chamber of Manufacturers, farming at Bannockburn. In 1982, Dickinson was elected to the Victorian Legislative Assembly as the Liberal member for South Barwon.

He resigned from the Liberal Party on 20 May 1992, and contested that year's election as an independent, but was defeated.

1992 Victorian state election
The 1992 Victorian state election was held on 3 October 1992 to elect the 52nd Parliament of Victoria, including all 88 members of the Legislative Assembly and 22 of the 44 members in the Legislative Council.

The Labor government of Premier Joan Kirner, who had replaced John Cain on 10 August 1990, was defeated in a landslide by the Liberal–National Coalition led by Jeff Kennett and Pat McNamara, who had campaigned on comprehensive economic and structural reform as well as changes to industrial relations. It was the largest majority that the Coalition had ever won in Victoria.
Amaethon
In Welsh mythology, Amaethon (Welsh: Amaethon fab Dôn (Welsh pronunciation: [aˈmaːɨθɔn])) was the son of Dôn, and brother to Arianrhod, Penarddun, Gilfaethwy, Gofannon, Gwydion, and Nudd. His name means "great labourer" or "great ploughman" and he is cited in Peniarth MS.98b as being responsible for the Cad Goddeu, or "Battle of Trees" against the lord of the otherworld, Arawn.

Lludd Llaw Eraint
Lludd Llaw Ereint ("Lludd of the Silver Hand") son of Beli Mawr, is a legendary hero from Welsh mythology. As Nudd Llaw Ereint (the earlier form of his name, cognate of  the Irish Nuada Airgetlám, derived from the pre-Roman Celtic god Nodens) he is the father of Gwyn ap Nudd. He is probably the source of king Lud from Geoffrey of Monmouth's History of the Kings of Britain.

In the Mabinogion tale of Lludd and Llefelys, which influenced Geoffrey of Monmouth's work, he is the ruler of Britain while his brother Llefelys ruled Gaul. Lludd calls on Llefelys to rid Britain of three plagues then afflicting the kingdom. Philological connection suggests that there was once a memorial to Lludd at the site of St Paul's Cathedral, London, near Ludgate, which is named after him.
First Muslim conquest of Jerusalem
The Muslim conquest of Jerusalem (636-637), or the Arab conquest of Jerusalem, was part of the Muslim conquest of the Levant and the result of the military efforts of the Rashidun Caliphate against the Byzantine Empire in the year 636–637/38. It began when the Rashidun army, under the command of Abu Ubayda, besieged Jerusalem beginning in November 636. After six months, Patriarch Sophronius agreed to surrender, on condition that he submit only to the caliph. In 637 or 638, Caliph Umar (r. 634–644) traveled to Jerusalem in person to receive the submission of the city. The patriarch thus surrendered to him.

The Muslim conquest of the city solidified Arab control over the region of Palestine, which remained part of various Sunni Caliphates until the Shia-led Fatimid Caliphate took over in 969. In 1073 the Seljuk Turks took control of Jerusalem, and Christian rulers regained control at the time of the First Crusade in 1099.

Rashidun army
The Rashidun army (Arabic: جيش الراشدين) was the core of the Rashidun Caliphate's armed forces during the early Muslim conquests in the 7th century. The army is reported to have maintained a high level of discipline, strategic prowess and organization, granting them successive victories in their various campaigns.

In its time, the Rashidun army was a very powerful and effective force. The three most successful generals of the army were Khalid ibn al-Walid, who conquered Persian Mesopotamia and the Roman Levant, Abu Ubaidah ibn al-Jarrah, who also conquered parts of the Roman Levant, and Amr ibn al-As, who conquered Roman Egypt. The army was a key component in the Rashidun Caliphate's territorial expansion and served as a medium for the early spread of Islam into the territories it conquered.
Ḍād
Ḍād (ﺽ) is the fifteenth letter of the Arabic alphabet, one of the six letters not in the twenty-two akin to the Phoenician alphabet (the others being ṯāʾ, ḫāʾ, ḏāl, ẓāʾ, ġayn). In name and shape, it is a variant of ṣād. Its numerical value is 800 (see Abjad numerals). It is related to the Ancient North Arabian 𐪓‎‎‎, South Arabian 𐩳.

The letter symbol itself is a derivation, by addition of a diacritic dot, from ص ṣād (representing /sˤ/).

Proto-Semitic language
Proto-Semitic is the reconstructed common ancestor of the Semitic languages. There is no consensus regarding the location of the linguistic homeland for Proto-Semitic: scholars hypothesize that it may have originated in the Levant, the Sahara, the Horn of Africa, the Arabian Peninsula, or northern Africa.

The Semitic language family is considered part of the broader macro-family of Afroasiatic languages.