Drinfeld double of $GL_n$ and generalized cluster structures
Quantum Algebra
2019-12-03 v2
Abstract
We construct a generalized cluster structure compatible with the Poisson bracket on the Drinfeld double of the standard Poisson-Lie group and derive from it a generalized cluster structure on compatible with the push-forward of the Poisson bracket on the dual Poisson--Lie group.
Keywords
Cite
@article{arxiv.1605.05705,
title = {Drinfeld double of $GL_n$ and generalized cluster structures},
author = {Misha Gekhtman and Michael Shapiro and Alek Vainshtein},
journal= {arXiv preprint arXiv:1605.05705},
year = {2019}
}
Comments
60 pages, 9 figures, extended version of arXiv: 1507.00452; final version; presentation clarified, Remark 2.2 added, several references added