dorsal/arxiv
View SchemaNew Generalized Poisson Structures
| Authors | J. A. de Azcarraga, A. M. Perelomov, J. C. Perez Bueno |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9601007 |
| URL | https://arxiv.org/abs/q-alg/9601007 |
| DOI | 10.1088/0305-4470/29/7/001 |
| Journal | J.Phys. A29 (1996) L151-L157 |
Abstract
New generalized Poisson structures are introduced by using suitable skew-symmetric contravariant tensors of even order. The corresponding `Jacobi identities' are provided by conditions on these tensors, which may be understood as cocycle conditions. As an example, we provide the linear generalized Poisson structures which can be constructed on the dual spaces of simple Lie algebras.
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"abstract": "New generalized Poisson structures are introduced by using suitable\nskew-symmetric contravariant tensors of even order. The corresponding `Jacobi\nidentities\u0027 are provided by conditions on these tensors, which may be\nunderstood as cocycle conditions. As an example, we provide the linear\ngeneralized Poisson structures which can be constructed on the dual spaces of\nsimple Lie algebras.",
"arxiv_id": "q-alg/9601007",
"authors": [
"J. A. de Azcarraga",
"A. M. Perelomov",
"J. C. Perez Bueno"
],
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"doi": "10.1088/0305-4470/29/7/001",
"journal_ref": "J.Phys. A29 (1996) L151-L157",
"title": "New Generalized Poisson Structures",
"url": "https://arxiv.org/abs/q-alg/9601007"
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