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< 17Axx | 17-XX | 17Cxx >
17-XX Nonassociative rings and algebras
17Bxx Lie algebras and Lie superalgebras {For Lie groups, see 22Exx}
17B01   Identities, free Lie (super)algebras
17B05   Structure theory
17B10   Representations, algebraic theory (weights)
17B15   Representations, analytic theory
17B20   Simple, semisimple, reductive (super)algebras (roots)
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 16W35, 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
17B63   Poisson algebras
17B65   Infinite-dimensional Lie (super)algebras [See also 22E65]
17B66   Lie algebras of vector fields and related (super) algebras
17B67   Kac-Moody (super)algebras (structure and representation theory)
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
< 17Axx | 17-XX | 17Cxx >
American Mathematical Society