| 17-XX |
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|
Nonassociative rings and algebras |
|
17Bxx |
|
Lie algebras and Lie superalgebras {For Lie groups, see 22Exx} |
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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 |
