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| Detailed view | Preprint, Working Paper, ... |
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| Available versions: | v1 (2009-10-12) | v2 (2010-07-13) |
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| Universal Enveloping Algebras of Lie Antialgebras |
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| Séverine Leidwanger1Sophie Morier-Genoud1 |
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| Lie antialgebras is a class of supercommutative algebras recently appeared in symplectic geometry. We define the notion of enveloping algebra of a Lie antialgebra and study its properties. We show that every Lie antialgebra is canonically related to a Lie superalgebra and prove that its enveloping algebra is a quotient of the enveloping algebra of the corresponding Lie superalgebra. |
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| 1: | IMJ - Institut de Mathématiques de Jussieu |
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| Lie antialgebras – Universal enveloping algebras |
| hal-00423722, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00423722 | |
| oai:hal.archives-ouvertes.fr:hal-00423722 | |
| From: Séverine Leidwanger | |
| Submitted on: Monday, 12 July 2010 17:52:54 | |
| Updated on: Tuesday, 13 July 2010 11:57:09 | |
