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< 22Dxx | 22-XX | 22Fxx >
22-XX Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX}
22Exx 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]
22E57   Geometric Langlands program: representation-theoretic aspects [See also 14D24]
22E60   Lie algebras of Lie groups {For the algebraic theory of Lie algebras, see 17Bxx}
22E65   Infinite-dimensional Lie groups and their Lie algebras: general properties [See also 17B65, 58B25, 58H05]
22E66   Analysis on and representations of infinite-dimensional Lie groups
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
< 22Dxx | 22-XX | 22Fxx >
American Mathematical Society