Cluster $\mathcal X$-varieties for dual Poisson–Lie groups. I

DOI10.1090/S1061-0022-2011-01138-0zbMath1225.22011arXiv1005.5289WikidataQ115281182 ScholiaQ115281182MaRDI QIDQ2996780

R. Brahami

Publication date: 3 May 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.5289

zbMATH Keywords

Poisson structurecluster combinatoricstropical mutation

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Poisson manifolds; Poisson groupoids and algebroids (53D17) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (4)

Quantum groups, quantum tori, and the Grothendieck-Springer resolution ⋮ Generalized cluster structure on the Drinfeld double of \(\mathrm{GL}_n\) ⋮ Poisson structures compatible with the cluster algebra structure in Grassmannians ⋮ Cluster $\mathcal X$-varieties for dual Poisson–Lie groups. I

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