22-XX Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX; for abstract harmonic analysis, see 43-XX} 45891
22-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to topological groups 8
22-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to topological groups 307
22Axx Topological and differentiable algebraic systems {For topological rings and fields, see 12Jxx, 13Jxx, 16W80} 7173
22D25 \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations [See also 46Lxx] 1517
22Exx Lie groups {For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90} 31566
22E27 Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) 727
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods {For the purely algebraic theory, see 20G05} 2534
22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) [See also 17B10] 1055
22E50 Representations of Lie and linear algebraic groups over local fields [See also 11F70, 20G05] 3550
22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings [See also 11F70, 20G05] 1106
22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties [See also 17B65, 58B25, 58D05 58H05] 1629
22E70 Applications of Lie groups to the sciences; explicit representations [See also 81R05, 81R10] 5884
22F05 General theory of group and pseudogroup actions {For topological properties of spaces with an action, see 57S20} 308
22F30 Homogeneous spaces {For general actions on manifolds or preserving geometrical structures, see 57M60, 57Sxx; for discrete subgroups of Lie groups, see especially 22E40} 520