17Bxx Lie algebras,
{For Lie groups, see 22Exx}
- 17B01 Identities, free Lie algebras
- 17B05 Structure theory
- 17B10 Representations, algebraic theory (weights)
- 17B15 Representations, analytic theory
- 17B20 Simple, semisimple, reductive algebras (roots)
- 17B25 Exceptional algebras
- 17B30 Solvable, nilpotent algebras
- 17B35 Universal enveloping algebras, See also {16S30}
- 17B37 Quantum groups and related deformations, See also {16W30, 81R50, 82B23}
- 17B40 Automorphisms, derivations, other operators
- 17B45 Lie algebras of linear algebraic groups, See also {14Lxx and 20Gxx}
- 17B50 Modular Lie algebras
- 17B55 Homological methods in Lie algebras
- 17B56 Cohomology of Lie algebras
- 17B60 Lie rings associated with other structures (associative, Jordan, etc.), See also {15A30, 16W10, 17C40, 17C50}
- 17B65 Infinite-dimensional Lie algebras, See also {22E65}
- 17B66 Lie algebras of vector fields and related algebras
- 17B67 Kac-Moody algebras (structure and representation theory)
- 17B68 Virasoro and related algebras
- 17B70 Graded Lie algebras
- 17B81 Applications to physics
- 17B99 None of the above but in this section
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