Twist Automorphisms on Quantum Unipotent Cells and Dual Canonical Bases

DOI10.1093/imrn/rnz040zbMath1470.16037arXiv1701.02268OpenAlexW3105783679MaRDI QIDQ3382655

Yoshiyuki Kimura, Hironori Oya

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.02268

zbMATH Keywords

quantum unipotent cellssyzygy functors

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Representation theory of associative rings and algebras (16G99) Ring-theoretic aspects of quantum groups (16T20) Kac-Moody groups (20G44)

Related Items (9)

Quasi-homomorphisms of quantum cluster algebras ⋮ Wilson lines and their Laurent positivity ⋮ Localizations for quiver Hecke algebras II ⋮ Twist automorphisms and Poisson structures ⋮ Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm ⋮ Integral quantum cluster structures ⋮ Geometric crystals and cluster ensembles in Kac-Moody setting ⋮ Cluster theory of the coherent Satake category ⋮ Schubert calculus from polyhedral parametrizations of Demazure crystals

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