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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.)
• 14
  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]
• 23
  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