The Lascoux, Leclerc and Thibon algorithm and Soergel's tilting algorithm.

DOI10.1007/S10801-006-6026-5zbMath1100.20009arXiv0905.0432OpenAlexW1974931377MaRDI QIDQ2492811

Steen Ryom-Hansen

Publication date: 14 June 2006

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.0432

zbMATH Keywords

Hecke algebrasKazhdan-Lusztig polynomialsdecomposition numberscrystal basesFock modulesLascoux-Leclerc-Thibon algorithmSoergel tilting algorithm

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

Cites Work

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• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
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• On the decomposition matrices of the quantized Schur algebra
• Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10
• A path algorithm for affine Kazhdan-Lusztig polynomials

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