Mathematical Sciences Classification System
17Bxx - Lie algebras and Lie superalgebras
{For Lie groups, see 22Exx}
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17B01Identities, free Lie (super)algebras
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17B05Structure theory
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17B08Coadjoint orbits; nilpotent varieties
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17B10Representations, algebraic theory (weights)
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17B15Representations, analytic theory
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17B20Simple, semisimple, reductive (super)algebras
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17B22Root systems
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17B25Exceptional (super)algebras
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17B30Solvable, nilpotent (super)algebras
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17B35Universal enveloping (super)algebras [See also 16S30]
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17B37
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17B40Automorphisms, derivations, other operators
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17B45
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17B50Modular Lie (super)algebras
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17B55Homological methods in Lie (super)algebras
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17B56Cohomology of Lie (super)algebras
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17B60
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17B62Lie bialgebras; Lie coalgebras
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17B63Poisson algebras
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17B65Infinite-dimensional Lie (super)algebras [See also 22E65]
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17B66Lie algebras of vector fields and related (super) algebras
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17B67Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
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17B68Virasoro and related algebras
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17B69Vertex operators; vertex operator algebras and related structures
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17B70Graded Lie (super)algebras
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17B75Color Lie (super)algebras
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17B80Applications to integrable systems
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17B81Applications to physics
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17B99None of the above, but in this section