22-XX |
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Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX; for abstract harmonic analysis, see 43-XX} |
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22Exx |
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Lie groups {For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90} |
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22E05 |
Local Lie groups [See also 34-XX, 35-XX, 58H05] |
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22E10 |
General properties and structure of complex Lie groups [See also 32M05] |
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22E15 |
General properties and structure of real Lie groups |
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22E20 |
General properties and structure of other Lie groups |
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22E25 |
Nilpotent and solvable Lie groups |
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22E27 |
Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) |
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22E30 |
Analysis on real and complex Lie groups [See also 33C80, 43-XX] |
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22E35 |
Analysis on $p$-adic Lie groups |
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22E40 |
Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx] |
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22E41 |
Continuous cohomology of Lie groups [See also 57R32, 57Txx, 58H10] |
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22E43 |
Structure and representation of the Lorentz group |
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22E45 |
Representations of Lie and linear algebraic groups over real fields: analytic methods {For the purely algebraic theory, see 20G05} |
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22E46 |
Semisimple Lie groups and their representations |
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22E47 |
Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) [See also 17B10] |
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22E50 |
Representations of Lie and linear algebraic groups over local fields [See also 11F70, 20G05] |
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22E55 |
Representations of Lie and linear algebraic groups over global fields and adèle rings [See also 11F70, 20G05] |
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22E57 |
Geometric Langlands program: representation-theoretic aspects [See also 14D24] |
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22E60 |
Lie algebras of Lie groups {For the algebraic theory of Lie algebras, see 17Bxx} |
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22E65 |
Infinite-dimensional Lie groups and their Lie algebras: general properties [See also 17B65, 58B25, 58D05 58H05] |
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22E66 |
Analysis on and representations of infinite-dimensional Lie groups |
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22E67 |
Loop groups and related constructions, group-theoretic treatment [See also 58D05] |
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22E70 |
Applications of Lie groups to the sciences; explicit representations [See also 81R05, 81R10] |
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22E99 |
None of the above, but in this section |