A short proof on the transition matrix from the Specht basis to the Kazhdan-Lusztig basis

DOI10.1216/rmj.2021.51.1671zbMath1487.05273arXiv1912.03809OpenAlexW2993971312MaRDI QIDQ2135976

Mee Seong Im

Publication date: 10 May 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03809

zbMATH Keywords

Kazhdan-Lusztig basisSpecht moduleparabolic Hecke algebra

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

Cites Work

• Unnamed Item
• Geometric Schur duality of classical type
• Relations between Young's natural and the Kazhdan-Lusztig representations of \(S_ n\)
• The representation theory of the symmetric groups
• On an isomorphism between Specht module and left cell of \({\mathfrak S}_n\)
• Die irreduziblen Darstellungen der symmetrischen Gruppe
• Combinatorics of Coxeter Groups
• Representations of Hecke Algebras of General Linear Groups
• Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln
• The Transition Matrix between the Specht and Web Bases Is Unipotent with Additional Vanishing Entries

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