A Frobenius formula for the characters of Ariki-Koike algebras

DOI10.1006/jabr.1999.8178zbMath0959.20007OpenAlexW2055206750MaRDI QIDQ1977545

Toshiaki Shoji

Publication date: 29 January 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8178

zbMATH Keywords

presentationscharactersAriki-Koike algebrasprimitive idempotentssymmetric functionsirreducible representationsFrobenius formulaSchur-Weyl reciprocity

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Hecke algebras and their representations (20C08)

Related Items

On double centralizer properties between quantum groups and Ariki-Koike algebras. ⋮ On decomposition numbers of the cyclotomic \(q\)-Schur algebras. ⋮ On irreducible characters of the Iwahori-Hecke algebra in type \(A\) ⋮ A Reducibility Theorem ofG(m, 1,r) and Its Application to Trace Functions on Ariki–Koike Algebras ⋮ Modular representation theory of affine and cyclotomic Yokonuma-Hecke algebras ⋮ Polynomial functors and two-parameter quantum symmetric pairs ⋮ On the action of Ariki-Koike algebras on tensor space. ⋮ Presenting cyclotomic q-Schur algebras ⋮ Cyclotomic 𝑞-Schur algebras associated to the Ariki-Koike algebra ⋮ Schur-Weyl reciprocity between quantum groups and Hecke algebras of type \(G(p,p,n)\) ⋮ Modified Ariki-Koike algebras and cyclotomic \(q\)-Schur algebras. ⋮ Yang-Baxter bases of 0-Hecke algebras and representation theory of 0-Ariki-Koike-Shoji algebras. ⋮ A super Frobenius formula for the characters of Iwahori–Hecke algebras ⋮ Green functions associated to complex reflection groups ⋮ \(G(\ell,k,d)\)-modules via groupoids ⋮ A super Frobenius formula for the characters of cyclotomic Hecke algebras ⋮ Characters of Renner monoids and their Hecke algebras ⋮ Robinson--Schensted--Knuth insertion and characters of cyclotomic Hecke algebras

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