Poisson geometry and Azumaya loci of cluster algebras

DOI10.1016/j.aim.2024.109822zbMath1546.13039MaRDI QIDQ6608012

Kurt Trampel, Milen T. Yakimov, Greg Muller, Bach Nguyen

Publication date: 19 September 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

cluster algebrasPoisson ordersfully Azumaya lociGekhtman-Shapiro-Vainshtein Poisson bracketsroot of unity quantum cluster algebrastorus orbits of symplectic leaves

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of orders, lattices, algebras over commutative rings (16G30) Poisson manifolds; Poisson groupoids and algebroids (53D17) Cluster algebras (13F60)

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