17Bxx

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17Bxx Lie algebras and Lie superalgebras {For Lie groups, see 22Exx} {Info & Stats}

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• 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 (roots)
• 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 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); 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