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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 22 | Topological groups, Lie groups | ||
| 22-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
| 22-01 | Instructional exposition (textbooks, tutorial papers, etc.) | ||
| 22-02 | Research exposition (monographs, survey articles) | ||
| 22-03 | Historical | ||
| 22-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 22-06 | Proceedings, conferences, collections, etc. | ||
| 22-99 | Topological groups, Lie groups (not classified at a more specific level) | ||
| 22A | Topological and differentiable algebraic systems {For topological rings and fields, see 12Jxx, 13Jxx, 16W80} | ||
| 22A05 | Structure of general topological groups | ||
| 22A10 | Analysis on general topological groups | ||
| 22A15 | Structure of topological semigroups | ||
| 22A20 | Analysis on topological semigroups | ||
| 22A22 | Topological groupoids (including differentiable and Lie groupoids) [See also 58H05] | ||
| 22A25 | Representations of general topological groups and semigroups | ||
| 22A26 | Topological semilattices, lattices and applications [See also 06B30, 06B35, 06F30] | ||
| 22A30 | Other topological algebraic systems and their representations | ||
| 22A99 | None of the above, but in this section | ||
| 22B | Locally compact abelian groups (LCA groups) | ||
| 22B05 | General properties and structure of LCA groups | ||
| 22B10 | Structure of group algebras of LCA groups | ||
| 22B99 | None of the above, but in this section | ||
| 22C05 | Compact groups | ||
| 22D | Locally compact groups and their algebras | ||
| 22D05 | General properties and structure of locally compact groups | ||
| 22D10 | Unitary representations of locally compact groups | ||
| 22D12 | Other representations of locally compact groups | ||
| 22D15 | Group algebras of locally compact groups | ||
| 22D20 | Representations of group algebras | ||
| 22D25 | $C^*$-algebras and $W$*-algebras in relation to group representations [See also 46Lxx] | ||
| 22D30 | Induced representations | ||
| 22D35 | Duality theorems | ||
| 22D40 | Ergodic theory on groups [See also 28Dxx] | ||
| 22D45 | Automorphism groups of locally compact groups | ||
| 22D99 | None of the above, but in this section | ||
| 22E | Lie groups {For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 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 | ||
| 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 | ||
| 22F | Noncompact transformation groups | ||
| 22F05 | General theory of group and pseudogroup actions {For topological properties of spaces with an action, see 57S20} | ||
| 22F10 | Measurable group actions [See also 22D40, 28Dxx, 37Axx] | ||
| 22F30 | Homogeneous spaces {For general actions on manifolds or preserving geometrical structures, see 57M60, 57Sxx; for discrete subgroups of Lie groups see especially 22E40} | ||
| 22F50 | Groups as automorphisms of other structures | ||
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