Mathematics Subject Classification 1991

17-XX Nonassociative rings and algebras ( 0 Dok.)

• 17-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
• 17-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 17-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 17-03 Historical (must be assigned at least one classification number from Section 01) ( 0 Dok.)
• 17-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 17-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 17-08 Computational methods ( 0 Dok.)
• 17Axx General nonassociative rings ( 0 Dok. )
• 17A01 General theory ( 0 Dok.)
• 17A05 Power-associative ( 0 Dok.)
• 17A10 Commutative power-associative ( 0 Dok.)
• 17A15 Noncommutative Jordan algebras ( 0 Dok.)
• 17A20 Flexible algebras ( 0 Dok.)
• 17A25 Nodal algebras ( 0 Dok.)
• 17A30 Algebras satisfying other identities ( 0 Dok.)
• 17A35 Division algebras ( 0 Dok.)
• 17A36 Automorphisms, derivatives, other operators ( 0 Dok.)
• 17A40 Ternary compositions ( 0 Dok.)
• 17A42 Other $n$-ary compositions ( 0 Dok.)
• 17A45 Quadratic algebras (but not quadratic Jordan algebras) ( 0 Dok.)
• 17A50 Free algebras ( 0 Dok.)
• 17A60 Structure theory ( 0 Dok.)
• 17A65 Radical theory ( 0 Dok.)
• 17A70 Superalgebras ( 0 Dok.)
• 17A75 Composition algebras ( 0 Dok.)
• 17A80 Valued algebras ( 0 Dok.)
• 17A99 None of the above but in this section ( 0 Dok.)
• 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.)
• 17Cxx Jordan algebras (algebras, triples and pairs) ( 0 Dok. )
• 17C05 Identities and free Jordan structures ( 0 Dok.)
• 17C10 Structure theory ( 0 Dok.)
• 17C17 Radicals ( 0 Dok.)
• 17C20 Simple, semisimple algebras ( 0 Dok.)
• 17C27 Idempotents, Peirce decompositions ( 0 Dok.)
• 17C30 Associated groups, automorphisms ( 0 Dok.)
• 17C36 Associated manifolds ( 0 Dok.)
• 17C37 Associated geometries ( 0 Dok.)
• 17C40 Exceptional Jordan structures ( 0 Dok.)
• 17C50 Jordan structures associated with other structures, See also {16W10} ( 0 Dok.)
• 17C55 Finite-dimensional structures ( 0 Dok.)
• 17C60 Division algebras ( 0 Dok.)
• 17C65 Jordan structures on Banach spaces and algebras, See Also { 46H70, 46L70} ( 0 Dok.)
• 17C70 Super structures ( 0 Dok.)
• 17C90 Applications to physics ( 0 Dok.)
• 17C99 None of the above but in this section ( 0 Dok.)
• 17Dxx Other nonassociative rings and algebras ( 0 Dok. )
• 17D05 Alternative rings ( 0 Dok.)
• 17D10 Malcev (Maltsev) rings and algebras ( 0 Dok.)
• 17D15 Right alternative rings ( 0 Dok.)
• 17D20 $(gamma, delta)$-rings, including $(1,-1)$-rings ( 0 Dok.)
• 17D25 Lie-admissible algebras ( 0 Dok.)
• 17D92 Genetic algebras ( 0 Dok.)
• 17D99 None of the above but in this section ( 0 Dok.)