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17Bxx
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Lie algebras and Lie superalgebras
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{For Lie groups, see 22Exx}
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- 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
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