Cyclotomic root systems and bad primes

DOI10.1016/j.aim.2017.11.020zbMath1427.20049arXiv1704.03779OpenAlexW2616338223MaRDI QIDQ1688637

Jean Michel, Michel Broué, Ruth Corran

Publication date: 11 January 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.03779

zbMATH Keywords

root systemscyclotomic Hecke algebrascomplex reflection groupsspetses

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items

The freeness and trace conjectures for parabolic Hecke subalgebras ⋮ A 2-Compact Group as a Spets ⋮ Hurwitz numbers for reflection groups. II: Parabolic quasi-Coxeter elements

Uses Software

• GAP
• CHEVIE

Cites Work

• Some topics in algebra. An advanced undergraduate course at PKU
• Schur indices and splitting fields of the unitary reflection groups
• Towards spetses. I
• Families of characters of cyclotomic Hecke algebras.
• Unipotent degrees of imprimitive complex reflection groups
• The development version of the \texttt{CHEVIE} package of \texttt{GAP3}.
• Introduction to complex reflection groups and their braid groups.
• The classification of 2-compact groups
• The classification of p-compact groups and homotopical group theory
• Finite complex reflection groups
• The root lattices of the complex reflection groups
• Sur le corps de définition d'un groupe de réflexions complexe
• Split Spetses for primitive reflection groups
• Differential Equations Invariant Under Finite Reflection Groups
• Finite Unitary Reflection Groups
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