Representations of Ariki–Koike algebras and Gröbner–Shirshov bases

DOI10.1112/S0024611503014606zbMath1065.20008OpenAlexW1902298478MaRDI QIDQ4812534

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

Publication date: 23 August 2004

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

Full work available at URL: https://doi.org/10.1112/s0024611503014606

zbMATH Keywords

Hecke algebrasSpecht modulesAriki-Koike algebrasYoung tableauxmonomial 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) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (9)

Linear algebraic approach to Gröbner-Shirshov basis theory ⋮ Monomial bases for the primitive complex Shephard groups of rank three ⋮ Cyclotomic Hecke algebras of \(G(r,p,n)\). ⋮ Gröbner–Shirshov bases and their calculation ⋮ MONOMIAL BASES FOR SOME IRREDUCIBLE 𝔤₂-MODULES ⋮ Composition-diamond lemma for modules ⋮ Standard monomials for the Weyl group F4 ⋮ Gröbner-Shirshov Bases for Exceptional Lie Superalgebras ⋮ A computational approach to Shephard groups

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