| 17-XX |
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Nonassociative rings and algebras |
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17-00 |
General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to nonassociative rings and algebras |
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17-01 |
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to nonassociative rings and algebras |
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17-02 |
Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras |
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17-03 |
History of nonassociative rings and algebras [Consider also classification numbers from Section 01-XX] |
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17-04 |
Software, source code, etc. for problems pertaining to nonassociative rings and algebras |
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17-06 |
Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras |
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17-08 |
Computational methods for problems pertaining to nonassociative rings and algebras [See also 68W30] |
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17A01 |
General theory of nonassociative rings and algebras |
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17A05 |
Power-associative rings |
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17A15 |
Noncommutative Jordan algebras |
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17A20 |
Flexible algebras |
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17A30 |
Nonassociative algebras satisfying other identities |
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17A32 |
Leibniz algebras |
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17A35 |
Nonassociative division algebras |
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17A36 |
Automorphisms, derivations, other operators (nonassociative rings and algebras) |
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17A40 |
Ternary compositions |
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17A42 |
Other $n$-ary compositions $(n \ge 3)$ |
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17A45 |
Quadratic algebras (but not quadratic Jordan algebras) |
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17A50 |
Free nonassociative algebras |
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17A60 |
Structure theory for nonassociative algebras |
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17A65 |
Radical theory (nonassociative rings and algebras) |
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17A70 |
Superalgebras |
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17A75 |
Composition algebras |
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17A80 |
Valued algebras |
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17A99 |
None of the above, but in this section |
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17B01 |
Identities, free Lie (super)algebras |
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17B05 |
Structure theory for Lie algebras and superalgebras |
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17B08 |
Coadjoint orbits; nilpotent varieties |
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17B10 |
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) |
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17B15 |
Representations of Lie algebras and Lie superalgebras, analytic theory |
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17B20 |
Simple, semisimple, reductive (super)algebras |
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17B22 |
Root systems |
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17B25 |
Exceptional (super)algebras |
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17B30 |
Solvable, nilpotent (super)algebras |
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17B35 |
Universal enveloping (super)algebras [See also 16S30] |
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17B37 |
Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 81R50, 82B23] |
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17B40 |
Automorphisms, derivations, other operators for Lie algebras and super algebras |
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17B45 |
Lie algebras of linear algebraic groups [See also 14Lxx and 20Gxx] |
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17B50 |
Modular Lie (super)algebras |
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17B55 |
Homological methods in Lie (super)algebras |
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17B56 |
Cohomology of Lie (super)algebras |
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17B60 |
Lie (super)algebras associated with other structures (associative, Jordan, etc.) [See also 16W10, 17C40, 17C50] |
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17B62 |
Lie bialgebras; Lie coalgebras |
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17B63 |
Poisson algebras |
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17B65 |
Infinite-dimensional Lie (super)algebras [See also 22E65] |
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17B66 |
Lie algebras of vector fields and related (super) algebras |
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17B67 |
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras |
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17B68 |
Virasoro and related algebras |
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17B69 |
Vertex operators; vertex operator algebras and related structures |
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17B70 |
Graded Lie (super)algebras |
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17B75 |
Color Lie (super)algebras |
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17B80 |
Applications of Lie algebras and superalgebras to integrable systems |
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17B81 |
Applications of Lie (super)algebras to physics, etc. |
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17B99 |
None of the above, but in this section |
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17C05 |
Identities and free Jordan structures |
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17C10 |
Structure theory for Jordan algebras |
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17C17 |
Radicals in Jordan algebras |
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17C20 |
Simple, semisimple Jordan algebras |
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17C27 |
Idempotents, Peirce decompositions |
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17C30 |
Associated groups, automorphisms of Jordan algebras |
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17C36 |
Associated manifolds of Jordan algebras |
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17C37 |
Associated geometries of Jordan algebras |
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17C40 |
Exceptional Jordan structures |
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17C50 |
Jordan structures associated with other structures [See also 16W10] |
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17C55 |
Finite-dimensional structures of Jordan algebras |
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17C60 |
Division algebras and Jordan algebras |
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17C65 |
Jordan structures on Banach spaces and algebras [See also 46H70, 46L70] |
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17C70 |
Super structures |
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17C90 |
Applications of Jordan algebras to physics, etc. |
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17C99 |
None of the above, but in this section |
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17D05 |
Alternative rings |
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17D10 |
Mal'tsev rings and algebras |
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17D15 |
Right alternative rings |
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17D20 |
$(\gamma, \delta)$-rings, including $(1,-1)$-rings |
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17D25 |
Lie-admissible algebras |
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17D92 |
Genetic algebras |
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17D99 |
None of the above, but in this section |
