Some applications of CHEVIE to the theory of algebraic groups

zbMath1258.20038arXiv1008.1464MaRDI QIDQ2919608

Meinolf Geck

Publication date: 4 October 2012

Full work available at URL: https://arxiv.org/abs/1008.1464

zbMATH Keywords

algorithmsWeyl groupsconjugacy classesCoxeter groupsGreen functionscomputer algebra systemsirreducible charactersreductive algebraic groupsunipotent classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Software, source code, etc. for problems pertaining to group theory (20-04) Representations of finite groups of Lie type (20C33)

Related Items (5)

On the values of unipotent characters of finite Chevalley groups of type \(E_7\) in characteristic 2 ⋮ Ordering Lusztig's families in type \(B_n\). ⋮ On the generalised Springer correspondence for groups of type 𝐸₈ ⋮ On the values of unipotent characters of finite Chevalley groups of type \(E_6\) in characteristic 3 ⋮ The development version of the \texttt{CHEVIE} package of \texttt{GAP3}.

Uses Software

• CHEVIE
• Coxeter
• Unnamed Item

This page was built for publication: Some applications of CHEVIE to the theory of algebraic groups