Mathematics Subject Classification 1991

17Bxx Lie algebras, {For Lie groups, See 22Exx} ( 0 Dok. )

• 17B01 Identities, free Lie algebras ( 0 Dok. )
• 17B05 Structure theory ( 0 Dok. )
• 17B10 Representations, algebraic theory (weights) ( 0 Dok. )
• 17B15 Representations, analytic theory ( 0 Dok. )
• 17B20 Simple, semisimple, reductive algebras (roots) ( 0 Dok. )
• 17B25 Exceptional algebras ( 0 Dok. )
• 17B30 Solvable, nilpotent algebras ( 0 Dok. )
• 17B35 Universal enveloping algebras, See also {16S30} ( 0 Dok. )
• 17B37 Quantum groups and related deformations, See also {16W30, 81R50, 82B23} ( 0 Dok. )
• 17B40 Automorphisms, derivations, other operators ( 0 Dok. )
• 17B45 Lie algebras of linear algebraic groups, See also {14Lxx and 20Gxx} ( 0 Dok. )
• 17B50 Modular Lie algebras ( 0 Dok. )
• 17B55 Homological methods in Lie algebras ( 0 Dok. )
• 17B56 Cohomology of Lie algebras ( 0 Dok. )
• 17B60 Lie rings associated with other structures (associative, Jordan, etc.), See also {15A30, 16W10, 17C40, 17C50} ( 0 Dok. )
• 17B65 Infinite-dimensional Lie algebras, See also {22E65} ( 0 Dok. )
• 17B66 Lie algebras of vector fields and related algebras ( 0 Dok. )
• 17B67 Kac-Moody algebras (structure and representation theory) ( 0 Dok. )
• 17B68 Virasoro and related algebras ( 0 Dok. )
• 17B70 Graded Lie algebras ( 0 Dok. )
• 17B81 Applications to physics ( 0 Dok. )
• 17B99 None of the above but in this section ( 0 Dok. )