20XX 


Group theory and generalizations 

20Gxx 

Linear algebraic groups and related topics {For arithmetic theory, see 11E57, 11H56; for geometric theory, see 14Lxx, 22Exx; for other methods in representation theory, see 15A30, 22E45, 22E46, 22E47, 22E50, 22E55} 


20G05 
Representation theory 


20G07 
Structure theory 


20G10 
Cohomology theory 


20G15 
Linear algebraic groups over arbitrary fields 


20G20 
Linear algebraic groups over the reals, the complexes, the quaternions 


20G25 
Linear algebraic groups over local fields and their integers 


20G30 
Linear algebraic groups over global fields and their integers 


20G35 
Linear algebraic groups over adÃ¨les and other rings and schemes 


20G40 
Linear algebraic groups over finite fields 


20G41 
Exceptional groups 


20G42 
Quantum groups (quantized function algebras) and their representations [See also 16T20, 17B37, 81R50] 


20G43 
Schur and $q$Schur algebras 


20G44 
KacMoody groups 


20G45 
Applications to physics 


20G99 
None of the above, but in this section 