22Exx Lie groups
{For the topology of Lie groups and homogeneous
spaces, See {57-XX, 57Sxx, 57Txx}; for analysis
thereon, See {43-XX, 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, See also {11R56}
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 {17B35}
22E50 Representations of Lie and linear algebraic groups over
local fields
22E55 Representations of Lie and linear algebraic groups over
global fields and adele 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