ON CRYSTAL OPERATORS IN LUSZTIG'S PARAMETRIZATIONS AND STRING CONE DEFINING INEQUALITIES

DOI10.1017/S0017089512000432zbMath1321.17011arXiv1203.3700MaRDI QIDQ4899938

Shmuel Zelikson

Publication date: 10 January 2013

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

Full work available at URL: https://arxiv.org/abs/1203.3700

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70)

Related Items (3)

Combinatorics of canonical bases revisited: string data in type \textsf{A} ⋮ Auslander-Reiten numbers games ⋮ Combinatorics of canonical bases revisited: type A

Cites Work

• Cones, crystals, and patterns
• Hall algebras and quantum groups
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• On commutation classes of reduced words in Weyl groups
• The crystal base and Littelmann's refined Demazure character formula
• On the coloured graph structure of Lusztig's canonical basis
• Tensor product multiplicities, canonical and totally positive varieties
• Auslander-Reiten quivers and the Coxeter complex.
• COXETER FUNCTORS AND GABRIEL'S THEOREM
• Introduction to quantum groups
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