dorsal/arxiv
View SchemaPoisson structures on the Poincare group
| Authors | S. Zakrzewski |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9602001 |
| URL | https://arxiv.org/abs/q-alg/9602001 |
| DOI | 10.1007/s002200050091 |
Abstract
An introduction to inhomogeneous Poisson groups is given. Poisson inhomogeneous $O(p,q)$ are shown to be coboundary, the generalized classical Yang-Baxter equation having only one-dimensional right hand side. Normal forms of the classical $r$-matrices for the Poincar\'{e} group (inhomogeneous $O(1,3)$) are calculated.
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"abstract": "An introduction to inhomogeneous Poisson groups is given. Poisson\ninhomogeneous $O(p,q)$ are shown to be coboundary, the generalized classical\nYang-Baxter equation having only one-dimensional right hand side. Normal forms\nof the classical $r$-matrices for the Poincar\\\u0027{e} group (inhomogeneous\n$O(1,3)$) are calculated.",
"arxiv_id": "q-alg/9602001",
"authors": [
"S. Zakrzewski"
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"doi": "10.1007/s002200050091",
"title": "Poisson structures on the Poincare group",
"url": "https://arxiv.org/abs/q-alg/9602001"
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