Exotic cluster structures on 𝑆𝐿_{𝑛}: the Cremmer–Gervais case

DOI10.1090/memo/1165zbMath1373.53112arXiv1307.1020OpenAlexW2963106198MaRDI QIDQ5281628

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Publication date: 26 July 2017

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1020

zbMATH Keywords

Poisson-Lie groupcluster algebraBelavin-Drinfeld triple, R-matrices, Crammer-Gervais Poisson-Lie bracket

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Cluster algebras (13F60)

Related Items (9)

Cluster algebra structures on Poisson nilpotent algebras ⋮ Generalized cluster structure on the Drinfeld double of \(\mathrm{GL}_n\) ⋮ Multiple generalized cluster structures on ⋮ Cremmer–Gervais cluster structure on SL _n ⋮ Generalized cluster structures related to the Drinfeld double of GLn$GL_n$ ⋮ Exotic cluster structures on \(SL_{n}\) with Belavin-Drinfeld data of minimal size. I. The structure ⋮ Exotic cluster structures on \(SL_{n}\) with Belavin-Drinfeld data of minimal size. II. Correspondence between cluster structures and Belavin-Drinfeld triples ⋮ Upper cluster algebras and choice of ground ring ⋮ Building maximal green sequences via component preserving mutations

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