Mathematical Sciences Classification System

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

  • 1
    17B01
    Identities, free Lie (super)algebras
  • 5
    17B05
    Structure theory
  • 17B08
    Coadjoint orbits; nilpotent varieties
  • 18
    17B10
    Representations, algebraic theory (weights)
  • 1
    17B15
    Representations, analytic theory
  • 6
    17B20
    Simple, semisimple, reductive (super)algebras
  • 4
    17B22
    Root systems
  • 1
    17B25
    Exceptional (super)algebras
  • 1
    17B30
    Solvable, nilpotent (super)algebras
  • 3
    17B35
    Universal enveloping (super)algebras [See also 16S30]
  • 36
    17B37
    Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 81R50, 82B23]
  • 2
    17B40
    Automorphisms, derivations, other operators
  • 7
    17B45
    Lie algebras of linear algebraic groups [See also 14Lxx and 20Gxx]
  • 2
    17B50
    Modular Lie (super)algebras
  • 2
    17B55
    Homological methods in Lie (super)algebras
  • 2
    17B56
    Cohomology of Lie (super)algebras
  • 17B60
    Lie (super)algebras associated with other structures (associative, Jordan, etc.) [See also 16W10, 17C40, 17C50]
  • 1
    17B62
    Lie bialgebras; Lie coalgebras
  • 2
    17B63
    Poisson algebras
  • 9
    17B65
    Infinite-dimensional Lie (super)algebras [See also 22E65]
  • 2
    17B66
    Lie algebras of vector fields and related (super) algebras
  • 9
    17B67
    Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
  • 5
    17B68
    Virasoro and related algebras
  • 10
    17B69
    Vertex operators; vertex operator algebras and related structures
  • 2
    17B70
    Graded Lie (super)algebras
  • 17B75
    Color Lie (super)algebras
  • 17B80
    Applications to integrable systems
  • 2
    17B81
    Applications to physics
  • 17B99
    None of the above, but in this section

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