22D | 22 | 22F

Lie groups

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

22E05Local Lie groups
[See also 34-XX, 35-XX, 58H05]
22E10General properties and structure of complex Lie groups
[See also 32M05]
22E15General properties and structure of real Lie groups
22E20General properties and structure of other Lie groups
22E25Nilpotent and solvable Lie groups
22E27Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.)
22E30Analysis on real and complex Lie groups
[See also 33C80, 43-XX]
22E35Analysis on p-adic Lie groups
22E40Discrete subgroups of Lie groups
[See also 20Hxx, 32Nxx]
22E41Continuous cohomology
[See also 57R32, 57Txx, 58H10]
22E43Structure and representation of the Lorentz group
22E45Representations of Lie and linear algebraic groups over real fields: analytic methods
{For the purely algebraic theory, see 20G05}
22E46Semisimple Lie groups and their representations
22E47Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.)
[See also 17B10]
22E50Representations of Lie and linear algebraic groups over local fields
[See also 20G05]
22E55Representations of Lie and linear algebraic groups over global fields and adèle rings
[See also 20G05]
22E60Lie algebras of Lie groups
{For the algebraic theory of Lie algebras, see 17Bxx}
22E65Infinite-dimensional Lie groups and their Lie algebras
[See also 17B65, 58B25, 58H05]
22E67Loop groups and related constructions, group-theoretic treatment
[See also 58D05]
22E70Applications of Lie groups to physics; explicit representations
[See also 81R05, 81R10]
22E99None of the above, but in this section