Exotic cluster structures on SL5

Idan Eisner

doi:10.1088/1751-8113/47/47/474002

Exotic cluster structures on SL₅

Idan Eisner

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

A conjecture by Gekhtman, Shapiro and Vainshtein suggests a correspondence between the Belavin-Drinfeld (BD) classification of solutions of the classical Yang-Baxter equation and cluster structures on simple Lie groups. This paper confirms the conjecture for SL₅. Given a BD class, we construct the corresponding cluster structure in script O sign(SL₅), and show that it satisfies all parts of the conjecture.

Original language	English
Article number	474002
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	47
Issue number	47
DOIs	https://doi.org/10.1088/1751-8113/47/47/474002
State	Published - 28 Nov 2014

Bibliographical note

Publisher Copyright:
© 2014 IOP Publishing Ltd.

Keywords

Belavin-Drinfeld triple
Cluster algebra
Poisson-Lie group

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
General Physics and Astronomy

Access to Document

10.1088/1751-8113/47/47/474002

Cite this

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