Springer representations for the imprimitive complex reflection groups.

DOI10.1016/j.jalgebra.2008.02.004zbMath1271.20051arXiv0707.0836OpenAlexW2963312806MaRDI QIDQ934082

Pramod N. Achar, Anne-Marie Aubert

Publication date: 29 July 2008

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

Full work available at URL: https://arxiv.org/abs/0707.0836

zbMATH Keywords

Green functionscyclotomic Hecke algebrasroot latticesSpringer representationsimprimitive complex reflection groupsspetsial reflection groups

Mathematics Subject Classification ID

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

Uses Software

• CHEVIE

Cites Work

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• Unipotent degrees of imprimitive complex reflection groups
• CHEVIE -- A system for computing and processing generic character tables
• Centralizers of semisimple elements in a chevalley group
• The root lattices of the complex reflection groups
• Invariants of Finite Groups Generated by Reflections
• Green functions associated to complex reflection groups

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