Compatible quadratic Poisson brackets related to a family of elliptic curves
classification
🧮 math.QA
math.AGnlin.SI
keywords
ellipticpoissoncompatiblequadraticalgebraassociatedbracketscasimir
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.