The \(\mathcal{B}(\infty)\) crystal for a family of generalized quantum groups

DOI10.1016/J.JALGEBRA.2016.06.025zbMath1379.17010OpenAlexW2477544105MaRDI QIDQ306519

Uma Roy, Seth Shelley-Abrahamson

Publication date: 31 August 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.06.025

zbMATH Keywords

quantum groupquivercrystal

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of quivers and partially ordered sets (16G20)

Cites Work

• Realizations of crystal \(\mathcal B(\infty)\) using Young tableaux and Young walls
• Young tableaux and crystal \(\mathcal B(\infty)\) for finite simple Lie algebras
• Quiver varieties and branching
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Arithmetic harmonic analysis on character and quiver varieties. II
• Extended Nakajima monomials and crystal \({\mathcal B}(\infty)\) for finite simple Lie algebras
• Quivers with loops and perverse sheaves
• Quivers, Perverse Sheaves, and Quantized Enveloping Algebras
• Crystal bases for quantum generalized kac–moody algebras

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