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Mathematical Sciences Classification System

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

• 1
  17B01
  Identities, free Lie (super)algebras
• 6
  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
• 1
  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
• 1
  17B99
  None of the above, but in this section