Elementary construction of Lusztig’s canonical basis

DOI10.1090/conm/688/13839zbMath1376.17025arXiv1602.04895OpenAlexW2950956914MaRDI QIDQ5351702

Peter Tingley

Publication date: 30 August 2017

Published in: Groups, Rings, Group Rings, and Hopf Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.04895

zbMATH Keywords

crystalPBW basiscanonical basis

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (5)

Affine PBW bases and affine MV polytopes ⋮ PBW bases and marginally large tableaux in types B and C ⋮ Combinatorial descriptions of the crystal structure on certain PBW bases ⋮ Unnamed Item ⋮ PBW Bases and Marginally Large Tableaux in Types B and C

Uses Software

• MathOverflow

Cites Work

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• Combinatorial descriptions of the crystal structure on certain PBW bases
• Quantum groups at roots of 1
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• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• PBW basis of quantized universal enveloping algebras
• Dual canonical bases, quantum shuffles and \(q\)-characters
• Tensor product multiplicities, canonical and totally positive varieties
• Parametrizations of canonical bases and totally positive matrices
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• Canonical Bases Arising from Quantized Enveloping Algebras
• Canonical Bases Arising from Quantized Enveloping Algebras. II
• Introduction to quantum groups

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