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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 17 | 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 | ||
| 17-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 17-06 | Proceedings, conferences, collections, etc. | ||
| 17-08 | Computational methods | ||
| 17-99 | Nonassociative rings and algebras (not classified at a more specific level) | ||
| 17A | General nonassociative rings | ||
| 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 | ||
| 17B | Lie algebras and Lie superalgebras {For Lie groups, see 22Exx} | ||
| 17B01 | Identities, free Lie (super)algebras | ||
| 17B05 | Structure theory | ||
| 17B10 | Representations, algebraic theory (weights) | ||
| 17B15 | Representations, analytic theory | ||
| 17B20 | Simple, semisimple, reductive (super)algebras (roots) | ||
| 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 16W35, 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 | ||
| 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 (structure and representation theory) | ||
| 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 | ||
| 17C | Jordan algebras (algebras, triples and pairs) | ||
| 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 | ||
| 17D | Other nonassociative rings and algebras | ||
| 17D05 | Alternative rings | ||
| 17D10 | Malcev (Maltsev) 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 | ||
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