22XX 


Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58XX. For abstract harmonic analysis, see 43XX} 

22Exx 

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 34XX, 35XX, 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, nontype I representations, etc.) 


22E30 
Analysis on real and complex Lie groups [See also 33C80, 43XX] 


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 adÃ¨le rings [See also 20G05] 


22E57 
Geometric Langlands program: representationtheoretic aspects [See also 14D24] 


22E60 
Lie algebras of Lie groups {For the algebraic theory of Lie algebras, see 17Bxx} 


22E65 
Infinitedimensional Lie groups and their Lie algebras: general properties [See also 17B65, 58B25, 58H05] 


22E66 
Analysis on and representations of infinitedimensional Lie groups 


22E67 
Loop groups and related constructions, grouptheoretic 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 