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Mathematical Sciences Classification System

20Gxx - Linear algebraic groups and related topics
{For arithmetic theory, see 11E57, 11H56; for geometric theory, see 14Lxx, 22Exx; for other methods in representation theory, see 15A30, 22E45, 22E46, 22E47, 22E50, 22E55}

• 24
  20G05
  Representation theory
• 20G07
  Structure theory
• 4
  20G10
  Cohomology theory
• 11
  20G15
  Linear algebraic groups over arbitrary fields
• 7
  20G20
  Linear algebraic groups over the reals, the complexes, the quaternions
• 4
  20G25
  Linear algebraic groups over local fields and their integers
• 2
  20G30
  Linear algebraic groups over global fields and their integers
• 4
  20G35
  Linear algebraic groups over adèles and other rings and schemes
• 6
  20G40
  Linear algebraic groups over finite fields
• 20G41
  Exceptional groups
• 11
  20G42
  Quantum groups (quantized function algebras) and their representations [See also 16T20, 17B37, 81R50]
• 20G43
  Schur and $q$-Schur algebras
• 1
  20G44
  Kac-Moody groups
• 3
  20G45
  Applications to physics
• 20G99
  None of the above, but in this section