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< 16-XX | Up | 18-XX >
17-XX Nonassociative rings and algebras
17-00   General reference works (handbooks, dictionaries, bibliographies, etc.)
17-01   Instructional exposition (textbooks, tutorial papers, etc.)
17-02   Research exposition (monographs, survey articles)
17-03   Historical (must also be assigned at least one classification number from Section 01)
17-04   Explicit machine computation and programs (not the theory of computation or programming)
17-06   Proceedings, conferences, collections, etc.
17-08   Computational methods
17A01   General theory
17A05   Power-associative rings
17A15   Noncommutative Jordan algebras
17A20   Flexible algebras
17A30   Algebras satisfying other identities
17A32   Leibniz algebras
17A35   Division algebras
17A36   Automorphisms, derivations, other operators
17A40   Ternary compositions
17A42   Other $n$-ary compositions $(n \ge 3)$
17A45   Quadratic algebras (but not quadratic Jordan algebras)
17A50   Free algebras
17A60   Structure theory
17A65   Radical theory
17A70   Superalgebras
17A75   Composition algebras
17A80   Valued algebras
17A99   None of the above, but in this section
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 [See also 16S30]
17B37   Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 81R50, 82B23]
17B40   Automorphisms, derivations, other operators
17B45   Lie algebras of linear algebraic groups [See also 14Lxx and 20Gxx]
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.) [See also 16W10, 17C40, 17C50]
17B62   Lie bialgebras; Lie coalgebras
17B63   Poisson algebras
17B65   Infinite-dimensional Lie (super)algebras [See also 22E65]
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
17C05   Identities and free Jordan structures
17C10   Structure theory
17C17   Radicals
17C20   Simple, semisimple algebras
17C27   Idempotents, Peirce decompositions
17C30   Associated groups, automorphisms
17C36   Associated manifolds
17C37   Associated geometries
17C40   Exceptional Jordan structures
17C50   Jordan structures associated with other structures [See also 16W10]
17C55   Finite-dimensional structures
17C60   Division algebras
17C65   Jordan structures on Banach spaces and algebras [See also 46H70, 46L70]
17C70   Super structures
17C90   Applications to physics
17C99   None of the above, but in this section
17D05   Alternative rings
17D10   Malʹcev (Malʹtsev) rings and algebras
17D15   Right alternative rings
17D20   $(\gamma, \delta)$-rings, including $(1,-1)$-rings
17D25   Lie-admissible algebras
17D92   Genetic algebras
17D99   None of the above, but in this section
< 16-XX | Up | 18-XX >
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