Hecke algebras, Specht modules and Gröbner-Shirshov bases.

DOI10.1016/S0021-8693(02)00071-6zbMath1038.20005OpenAlexW2040613561MaRDI QIDQ1849104

Kyu-Hwan Lee, Seok-Jin Kang, Hyekyung Oh, In-Sok Lee

Publication date: 28 November 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00071-6

zbMATH Keywords

Hecke algebrasTemperley-Lieb algebrasSpecht modulestableauxGram matricesmonomial basesgenerators and relationsGröbner-Shirshov bases

Mathematics Subject Classification ID

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

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Cites Work

• The diamond lemma for ring theory
• Gröbner-Shirshov bases for irreducible \(sl_{n+1}\)-modules
• The representations of Hecke algebras of type \(A_ n\)
• Cellular algebras
• Representations of Hecke Algebras of General Linear Groups
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