On the invariants of the cohomology of complements of Coxeter arrangements

DOI10.1016/j.jalgebra.2019.05.010zbMath1455.20003arXiv1810.02563OpenAlexW2951551504MaRDI QIDQ2182348

J. Matthew Douglass, Gerhard Röhrle, Götz Pfeiffer

Publication date: 23 May 2020

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

Full work available at URL: https://arxiv.org/abs/1810.02563

zbMATH Keywords

Coxeter groupsarrangements of hyperplanesOrlik-Solomon algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Uses Software

• GAP
• CHEVIE

Cites Work

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• Computations for Coxeter arrangements and Solomon's descent algebra. II: Groups of rank five and six.
• Computations for Coxeter arrangements and Solomon's descent algebra. III: Groups of rank seven and eight.
• On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes
• Combinatorics and topology of complements of hyperplanes
• Coxeter group actions on the complement of hyperplanes and special involutions.
• CHEVIE -- A system for computing and processing generic character tables
• Computations for Coxeter arrangements and Solomon's descent algebra: groups of rank three and four.
• Conjugacy classes of involutions in Coxeter groups
• Normalizers of Parabolic Subgroups of Reflection Groups
• Special involutions and bulky parabolic subgroups in finite Coxeter groups

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