YOUNG TABLEAUX, CANONICAL BASES, AND THE GINDIKIN-KARPELEVICH FORMULA

DOI10.4134/JKMS.2014.51.2.289zbMath1326.17013arXiv1205.6006MaRDI QIDQ5409976

Ben Salisbury, Kyu-Hwan Lee

Publication date: 15 April 2014

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.6006

zbMATH Keywords

Young tableauxcrystalcanonical basisGindikin-KarpelevichKostant partitionLusztig parametrization

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (9)

Connecting marginally large tableaux and rigged configurations via crystals ⋮ PBW bases and marginally large tableaux in types B and C ⋮ Description of \(\mathsf {B}(\infty)\) through Kashiwara embedding for Lie algebra types \(E_6\) and \(E_7\) ⋮ Zigzag strip bundles and crystals. II ⋮ The flush statistic on semistandard Young tableaux ⋮ Generalized Young walls for classical Lie algebras ⋮ Young tableaux and crystal \(\mathcal B(\infty)\) for finite simple Lie algebras ⋮ Unnamed Item ⋮ Atomic decomposition of characters and crystals

Uses Software

• SageMath

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