Generalized cluster structure on the Drinfeld double of GL(n)

作者：Gekhtman Michael^*; Shapiro Michael^*; Vainshtein Alek^*

来源：Comptes Rendus Mathematique, 2016, 354(4): 345-349.

DOI：10.1016/j.crma.2016.01.006

We construct a generalized cluster structure compatible with the Poisson bracket on the Drinfeld double of the standard Poisson-Lie group GL(n) and derive from it a generalized cluster structure in GL(n) compatible with the push-forward of the dual Poisson-Lie bracket.

• 出版日期2016-4