Exotic cluster structures on $SL_{5}$
Quantum Algebra
2015-08-14 v2 Representation Theory
Abstract
A conjecture by Gekhtman, Shapiro and Vainshtein suggests a correspondence between the Belavin - Drinfeld classification of solutions of the classical Yang - Baxter equation and cluster structures on simple Lie groups. This paper confirms the conjecture for . Given a Belavin - Drinfeld class, we construct the corresponding cluster structure in , and show that it satisfies all parts of the conjecture.
Cite
@article{arxiv.1312.2771,
title = {Exotic cluster structures on $SL_{5}$},
author = {Idan Eisner},
journal= {arXiv preprint arXiv:1312.2771},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1101.0015 by other authors