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  • 17-XX Nonassociative rings and algebras
  • 17Bxx Lie algebras and Lie superalgebras
  • 17B66 Lie algebras of vector fields and related (super) algebras

17Bxx Lie algebras and Lie superalgebras

  • 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
  • 17B22 Root systems
  • 17B25 Exceptional (super)algebras
  • 17B30 Solvable, nilpotent (super)algebras
  • 17B35 Universal enveloping (super)algebras
  • 17B37 Quantum groups (quantized enveloping algebras) and related deformations
  • 17B40 Automorphisms, derivations, other operators
  • 17B45 Lie algebras of linear algebraic groups
  • 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.)
  • 17B62 Lie bialgebras; Lie coalgebras
  • 17B63 Poisson algebras
  • 17B65 Infinite-dimensional Lie (super)algebras
  • 17B66 Lie algebras of vector fields and related (super) algebras
  • 17B67 Kac-Moody (super)algebras; 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
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