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22-XX Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX} → ZMATH
22Exx Lie groups {For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90} → ZMATH
22E05 Local Lie groups [See also 34-XX, 35-XX, 58H05] → ZMATH
22E10 General properties and structure of complex Lie groups [See also 32M05] → ZMATH
22E15 General properties and structure of real Lie groups → ZMATH
22E20 General properties and structure of other Lie groups → ZMATH
22E25 Nilpotent and solvable Lie groups → ZMATH
22E27 Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) → ZMATH
22E30 Analysis on real and complex Lie groups [See also 33C80, 43-XX] → ZMATH
22E35 Analysis on $p$-adic Lie groups → ZMATH
22E40 Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx] → ZMATH
22E41 Continuous cohomology [See also 57R32, 57Txx, 58H10] → ZMATH
22E43 Structure and representation of the Lorentz group → ZMATH
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods {For the purely algebraic theory, see 20G05} → ZMATH
22E46 Semisimple Lie groups and their representations → ZMATH
22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) [See also 17B10] → ZMATH
22E50 Representations of Lie and linear algebraic groups over local fields [See also 20G05] → ZMATH
22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings [See also 20G05] → ZMATH
22E60 Lie algebras of Lie groups {For the algebraic theory of Lie algebras, see 17Bxx} → ZMATH
22E65 Infinite-dimensional Lie groups and their Lie algebras [See also 17B65, 58B25, 58H05] → ZMATH
22E67 Loop groups and related constructions, group-theoretic treatment [See also 58D05] → ZMATH
22E70 Applications of Lie groups to physics; explicit representations [See also 81R05, 81R10] → ZMATH
22E99 None of the above, but in this section → ZMATH
Abel prize 2010
I. M. Gelfand 1913-2009

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