English

Multiple generalized cluster structures on $D(\text{GL}_n)$

Representation Theory 2023-10-17 v3 Commutative Algebra Quantum Algebra

Abstract

We produce a large class of generalized cluster structures on the Drinfeld double of GLn\text{GL}_n that are compatible with Poisson brackets given by Belavin-Drinfeld classification. The resulting construction is compatible with the previous results on cluster structures on GLn\text{GL}_n.

Keywords

Cite

@article{arxiv.2111.01771,
  title  = {Multiple generalized cluster structures on $D(\text{GL}_n)$},
  author = {Dmitriy Voloshyn},
  journal= {arXiv preprint arXiv:2111.01771},
  year   = {2023}
}

Comments

84 pages, 30 figures

R2 v1 2026-06-24T07:23:07.898Z