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22Exx

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Lie groups

{For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90}
  • 22E05 Local Lie groups [See also 34-xx, 35-xx, 58H05]
  • 22E10 General properties and structure of complex Lie groups [See also 32M05]
  • 22E15 General properties and structure of real Lie groups
  • 22E20 General properties and structure of other Lie groups
  • 22E25 Nilpotent and solvable Lie groups
  • 22E27 Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.)
  • 22E30 Analysis on real and complex Lie groups [See also 33C80, 43-xx]
  • 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]
  • 22E43 Structure and representation of the Lorentz group
  • 22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods {For the purely algebraic theory, see 20G05}
  • 22E46 Semisimple Lie groups and their representations
  • 22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) [See also 17B10]
  • 22E50 Representations of Lie and linear algebraic groups over local fields [See also 20G05]
  • 22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings [See also 20G05]
  • 22E60 Lie algebras of Lie groups {For the algebraic theory of Lie algebras, see 17Bxx}
  • 22E65 Infinite-dimensional Lie groups and their Lie algebras [See also 17B65, 58B25, 58H05]
  • 22E67 Loop groups and related constructions, group-theoretic treatment [See also 58D05]
  • 22E70 Applications of Lie groups to physics; explicit representations [See also 81R05, 81R10]
  • 22E99 None of the above, but in this section