Compatible quadratic Poisson brackets related to a family of elliptic curves

Details Compatible quadratic Poisson brackets related to a family of elliptic curves Compatible quadratic Poisson brackets related to a family of elliptic curves

2012-04-05

arxiv.org/abs/1204.1299v1

Mathematics

Quantum Algebra

10 pages, Latex

Scientific paper

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.

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