Mathematics Subject Classification 1991

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} ( 0 Dok. )

• 22E05 Local Lie groups, See also {34-XX, 35-XX, 58H05} ( 0 Dok. )
• 22E10 General properties and structure of complex Lie groups, See also {32M05} ( 0 Dok. )
• 22E15 General properties and structure of real Lie groups ( 0 Dok. )
• 22E20 General properties and structure of other Lie groups ( 0 Dok. )
• 22E25 Nilpotent and solvable Lie groups ( 0 Dok. )
• 22E27 Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) ( 0 Dok. )
• 22E30 Analysis on real and complex Lie groups, See also {33C80, 43-XX} ( 0 Dok. )
• 22E35 Analysis on $p$-adic Lie groups, See also {11R56} ( 0 Dok. )
• 22E40 Discrete subgroups of Lie groups, See also {20Hxx, 32Nxx} ( 0 Dok. )
• 22E41 Continuous cohomology, See also {57R32, 57Txx, 58H10} ( 0 Dok. )
• 22E43 Structure and representation of the Lorentz group ( 0 Dok. )
• 22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods, {For the purely algebraic theory, See 20G05} ( 0 Dok. )
• 22E46 Semisimple Lie groups and their representations ( 0 Dok. )
• 22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), See also {17B35} ( 0 Dok. )
• 22E50 Representations of Lie and linear algebraic groups over local fields ( 0 Dok. )
• 22E55 Representations of Lie and linear algebraic groups over global fields and adele rings, See also {20G05} ( 0 Dok. )
• 22E60 Lie algebras of Lie groups, {For the algebraic theory of Lie algebras, See 17Bxx} ( 0 Dok. )
• 22E65 Infinite-dimensional Lie groups and their Lie algebras, See also {17B65, 58B25, 58H05} ( 0 Dok. )
• 22E67 Loop groups and related constructions, group-theoretic treatment, See also {58D05} ( 0 Dok. )
• 22E70 Applications of Lie groups to physics; explicit representations, See also {81R05, 81R10} ( 0 Dok. )
• 22E99 None of the above but in this section ( 0 Dok. )