| 17-XX | | Prev: 16 | Up: Top | Next: 18 | |
| 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
[xref: 68W30]
| |
17Axx|
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
[xref: 16W55]
| 17A75 |
Composition algebras
| 17A80 |
Valued algebras
| 17A99 |
None of the above, but in this section
| |
17Bxx|
Lie algebras and Lie superalgebras {For Lie groups, see 22Exx}
[xref: 16W55, 81R12]
| 17B01 |
Identities, free Lie (super)algebras
| 17B05 |
Structure theory
| 17B10 |
Representations, algebraic theory (weights)
[xref: 22E47]
| 17B15 |
Representations, analytic theory
| 17B20 |
Simple, semisimple, reductive (super)algebras (roots)
| 17B25 |
Exceptional (super)algebras
| 17B30 |
Solvable, nilpotent (super)algebras
| 17B35 |
Universal enveloping algebras [See also 16S30]
[xref: 16S30]
| 17B37 |
Quantum groups (quantized enveloping algebras) and related deformations [See also 16W35, 20G42, 81R50, 82B23]
[xref: 16W35, 20G42, 81R50]
| 17B40 |
Automorphisms, derivations, other operators
| 17B45 |
Lie algebras of linear algebraic groups [See also 14Lxx and 20Gxx]
[xref: 14L17]
| 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]
[xref: 16W10]
| 17B62 |
Lie bialgebras
| 17B63 |
Poisson algebras
| 17B65 |
Infinite-dimensional Lie (super)algebras [See also 22E65]
[xref: 22E65, 58D07, 81R10]
| 17B66 |
Lie algebras of vector fields and related (super) algebras
| 17B67 |
Kac-Moody algebras (structure and representation theory)
[xref: 81R10]
| 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
| |
17Cxx|
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
[xref: 17B60]
| 17C50 |
Jordan structures associated with other structures [See also 16W10]
[xref: 16W10, 17B60]
| 17C55 |
Finite-dimensional structures
| 17C60 |
Division algebras
| 17C65 |
Jordan structures on Banach spaces and algebras [See also 46H70, 46L70]
| 17C70 |
Super structures
[xref: 16W55]
| 17C90 |
Applications to physics
| 17C99 |
None of the above, but in this section
| |
17Dxx|
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
| |