Generalized cluster structure on the Drinfeld double of $GL_n$
Quantum Algebra
2017-10-25 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 dual Poisson--Lie bracket.
Cite
@article{arxiv.1507.00452,
title = {Generalized cluster structure on the Drinfeld double of $GL_n$},
author = {Michael Gekhtman and Michael Shapiro and Alek Vainshtein},
journal= {arXiv preprint arXiv:1507.00452},
year = {2017}
}
Comments
This is a short announcement. The proofs will be published in a subsequent paper. Version 2: several misprints are corrected