On the semi-simplicity of the Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\)

DOI10.1006/jabr.1994.1280zbMath0833.16009OpenAlexW2586209696MaRDI QIDQ1336469

Susumu Ariki

Publication date: 23 January 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1280

zbMATH Keywords

Hecke algebrasfinite-dimensional algebrasgeneratorsirreducible representationsirreducible modulessemi-simplicitysplit semi-simple algebras

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Representations of finite symmetric groups (20C30) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

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