Weights of multipartitions and representations of Ariki-Koike algebras. II: Canonical bases

DOI10.1016/J.JALGEBRA.2007.10.002zbMath1201.17006OpenAlexW1964165002MaRDI QIDQ926850

Matthew Fayers

Publication date: 21 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.10.002

zbMATH Keywords

Ariki-Koike algebrasweightcanonical basesmultipartitions

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08)

Related Items (11)

Irreducible Specht modules for Iwahori–Hecke algebras of type $B$ ⋮ Cores of Ariki-Koike algebras ⋮ The Ariki-Terasoma-Yamada tensor space and the blob algebra. ⋮ Decomposable Specht modules indexed by bihooks. II ⋮ Graded decomposition numbers of Ariki-Koike algebras for blocks of small weight. ⋮ Radicals of weight one blocks of Ariki–Koike algebras ⋮ Schur elements for the Ariki-Koike algebra and applications. ⋮ On the one dimensional representations of Ariki-Koike algebras at roots of unity ⋮ An LLT-type algorithm for computing higher-level canonical bases ⋮ On the Mullineux involution for Ariki-Koike algebras. ⋮ Generalized Mullineux involution and perverse equivalences

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