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
  • 3
    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

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