Task: Translation
Input (English): English sentence: They focus on Lie groups, and their actions, as well as on algebraic and arithmetic groups, and broach core questions regarding many different areas: algebraic topology, differential geometry, analytic geometry, analytic and algebraic geometry, number theory etc. These articles were fundamental to the development of mathematics in the second half of the 20th century.
Output (Tagalog): Sila focus sa humiga / magsinungaling grupo, at ang kanilang mga aksyon, pati na rin sa mga algebraic at arithmetic grupo, at pambutas pangunahing mga katanungan tungkol sa maraming iba't-ibang mga lugar: algebraic topology, kaugalian geometry, analytic geometry, and analytic algebraic geometry, number theory atbp Ang mga ito ay pangunahing artikulo sa pag-unlad ng matematika sa ikalawang kalahati ng ika-20 siglo.