22Exx | 22D | 22 | 22F |
| 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] |
| 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 |