The decomposition numbers of Hecke algebras of type \(F_ 4\) with unequal parameters

DOI10.1007/BF02567618zbMath0830.20062OpenAlexW1974518991MaRDI QIDQ1331747

Kirsten Bremke

Publication date: 25 August 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155965

zbMATH Keywords

irreducible representationsKazhdan-Lusztig polynomialsdecomposition numbersleft cellsgeneric Hecke algebras

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (6)

Some decomposition numbers of Hecke algebras ⋮ Decomposition matrices for exceptional groups at \(d=4\) ⋮ On the irreducible representations of the specializations in characteristics \(2\) and \(3\) of the generic Hecke algebra of type \(F_4\) ⋮ The principal p‐blocks with four irreducible characters ⋮ Rouquier blocks in Chevalley groups of type \(E\). ⋮ On the irreducible representations of the specializations of the generic Hecke algebra of type \(F_4^*\)

Uses Software

• GAP
• Maple

Cites Work

• The decomposition numbers of the Hecke algebra of type \(F_ 4\)
• On the existence of a W-graph for an irreducible representation of a Coxeter group
• Representations of Coxeter groups and Hecke algebras
• Unipotent characters of the Chevalley groups \(D_ 4(q)\), \(q\) odd
• Brauer trees of hecke algebras
• The Decomposition Numbers of the Hecke Algebra of Type E ∗ 6
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