Decomposition matrices for d-Harish-Chandra series: the exceptional rank two cases

DOI10.1112/S1461157010000306zbMath1296.20003arXiv1008.3413OpenAlexW3098435436MaRDI QIDQ5169586

Hyohe Miyachi, Maria Chlouveraki

Publication date: 11 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3413

zbMATH Keywords

cyclotomic Hecke algebrasdecomposition matricescanonical basesirreducible modular representationsexceptional complex reflection groups

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Modular representations and characters (20C20) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (4)

Universal deformations of the finite quotients of the braid group on 3 strands. ⋮ Decomposition matrices for the generic Hecke algebras on 3 strands in characteristic 0 ⋮ Defect in cyclotomic Hecke algebras ⋮ Tower equivalence and Lusztig’s truncated Fourier transform

Cites Work

• On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity.
• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
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