17XX 


Nonassociative rings and algebras 

17Bxx 

Lie algebras and Lie superalgebras {For Lie groups, see 22Exx} 


17B01 
Identities, free Lie (super)algebras 


17B05 
Structure theory 


17B08 
Coadjoint orbits; nilpotent varieties 


17B10 
Representations, algebraic theory (weights) 


17B15 
Representations, analytic theory 


17B20 
Simple, semisimple, reductive (super)algebras 


17B22 
Root systems 


17B25 
Exceptional (super)algebras 


17B30 
Solvable, nilpotent (super)algebras 


17B35 
Universal enveloping (super)algebras [See also 16S30] 


17B37 
Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 81R50, 82B23] 


17B40 
Automorphisms, derivations, other operators 


17B45 
Lie algebras of linear algebraic groups [See also 14Lxx and 20Gxx] 


17B50 
Modular Lie (super)algebras 


17B55 
Homological methods in Lie (super)algebras 


17B56 
Cohomology of Lie (super)algebras 


17B60 
Lie (super)algebras associated with other structures (associative, Jordan, etc.) [See also 16W10, 17C40, 17C50] 


17B62 
Lie bialgebras; Lie coalgebras 


17B63 
Poisson algebras 


17B65 
Infinitedimensional Lie (super)algebras [See also 22E65] 


17B66 
Lie algebras of vector fields and related (super) algebras 


17B67 
KacMoody (super)algebras; extended affine Lie algebras; toroidal Lie algebras 


17B68 
Virasoro and related algebras 


17B69 
Vertex operators; vertex operator algebras and related structures 


17B70 
Graded Lie (super)algebras 


17B75 
Color Lie (super)algebras 


17B80 
Applications to integrable systems 


17B81 
Applications to physics 


17B99 
None of the above, but in this section 