Modified Double Poisson Brackets
Quantum Algebra
2019-10-03 v2
Abstract
We propose a non skew-symmetric generalization of the original definition of double Poisson Bracket by M. Van den Bergh. It allows one to explicitly construct more general class of H0-Poisson structures on finitely generated associative algebras. We show that modified double Poisson brackets inherit certain major properties of the double Poisson brackets.
Keywords
Cite
@article{arxiv.1608.08287,
title = {Modified Double Poisson Brackets},
author = {Semeon Arthamonov},
journal= {arXiv preprint arXiv:1608.08287},
year = {2019}
}
Comments
Appendix with an application to Integrable Systems was added