Integral quantum cluster structures

DOI10.1215/00127094-2020-0061zbMath1478.13036arXiv2003.04434OpenAlexW3154383605MaRDI QIDQ2037855

Kenneth R. Goodearl, Milen T. Yakimov

Publication date: 8 July 2021

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.04434

zbMATH Keywords

symmetrizable Kac-Moody algebrasdual canonical basesintegral quantum cluster algebrasintegral upper quantum cluster algebrasquantum unipotent cells

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items

A cluster structure on the coordinate ring of partial flag varieties, Twist automorphisms and Poisson structures, An analog of Leclerc's conjecture for bases of quantum cluster algebras

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