22-XX Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX; for abstract harmonic analysis, see 43-XX} 39356

22Exx Lie groups {For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90} 27110

22E27 Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) 638

22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods {For the purely algebraic theory, see 20G05} 2299

22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) [See also 17B10] 889

22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings [See also 20G05] 974

22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties [See also 17B65, 58B25, 58D05 58H05] 1468

22E70 Applications of Lie groups to the sciences; explicit representations [See also 81R05, 81R10] 5308