Compatible quadratic Poisson brackets related to a family of elliptic curves
Please always quote using this URN: urn:nbn:de:0297-zib-16097
- We construct nine pairwise compatible quadratic Poisson structures such that a generic linear combination of them is associated with an elliptic algebra in $n$ generators. Explicit formulas for Casimir elements of this elliptic Poisson structure are obtained.
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| Author: | Alexander Odesskii, Thomas Wolf |
|---|---|
| Document Type: | ZIB-Report |
| MSC-Classification: | 14-XX ALGEBRAIC GEOMETRY |
| 17-XX NONASSOCIATIVE RINGS AND ALGEBRAS | |
| 32-XX SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES (For infinite-dimensional holomorphy, see 46G20, 58B12) | |
| Date of first Publication: | 2012/10/16 |
| Series (Serial Number): | ZIB-Report (12-31) |
| ArXiv Id: | http://arxiv.org/abs/1204.1299 |
| ISSN: | 1438-0064 |
| Published in: | To appear in (accepted): Journal of Geometry and Physics |
