Semisimplicity of parabolic Hecke algebras

DOI10.1006/jabr.1997.7312zbMath0913.20005OpenAlexW2095318976MaRDI QIDQ1265564

Yasushi Gomi

Publication date: 8 June 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7312

zbMATH Keywords

Hecke algebraslength functionsIwahori-Hecke algebrassemisimplicityfinite Coxeter systemsparabolic Hecke algebras

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (1)

Isomorphisms of Hecke modules and parabolic Kazhdan-Lusztig polynomials.

Cites Work

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• Structure constants of the Hecke algebras \({\mathcal H}(S,J)\) and applications
• On the Steinberg characters of finite Chevalley groups
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
• The representations and generic degrees of the Hecke algeba of type H4.
• On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups

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