Mathematical Sciences Classification System

22Exx - Lie groups
{For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90}

  • 2
    22E05
    Local Lie groups [See also 34-XX, 35-XX, 58H05]
  • 1
    22E10
    General properties and structure of complex Lie groups [See also 32M05]
  • 6
    22E15
    General properties and structure of real Lie groups
  • 1
    22E20
    General properties and structure of other Lie groups
  • 4
    22E25
    Nilpotent and solvable Lie groups
  • 1
    22E27
    Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.)
  • 13
    22E30
    Analysis on real and complex Lie groups [See also 33C80, 43-XX]
  • 7
    22E35
    Analysis on $p$-adic Lie groups
  • 22E40
    Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx]
  • 22E41
    Continuous cohomology [See also 57R32, 57Txx, 58H10]
  • 5
    22E43
    Structure and representation of the Lorentz group
  • 9
    22E45
    Representations of Lie and linear algebraic groups over real fields: analytic methods {For the purely algebraic theory, see 20G05}
  • 12
    22E46
    Semisimple Lie groups and their representations
  • 6
    22E47
    Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) [See also 17B10]
  • 22
    22E50
    Representations of Lie and linear algebraic groups over local fields [See also 20G05]
  • 9
    22E55
    Representations of Lie and linear algebraic groups over global fields and adèle rings [See also 20G05]
  • 22E57
    Geometric Langlands program: representation-theoretic aspects [See also 14D24]
  • 3
    22E60
    Lie algebras of Lie groups {For the algebraic theory of Lie algebras, see 17Bxx}
  • 6
    22E65
    Infinite-dimensional Lie groups and their Lie algebras: general properties [See also 17B65, 58B25, 58H05]
  • 1
    22E66
    Analysis on and representations of infinite-dimensional Lie groups
  • 22E67
    Loop groups and related constructions, group-theoretic treatment [See also 58D05]
  • 13
    22E70
    Applications of Lie groups to physics; explicit representations [See also 81R05, 81R10]
  • 2
    22E99
    None of the above, but in this section

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