The development version of the CHEVIE package of GAP3

Abstract

I describe the current state of the development version of the CHEVIE package, which deals with Coxeter groups, reductive algebraic groups, complex reflection groups, Hecke algebras, braid monoids, etc... Examples are given, showing the code to check some results of Lusztig.

24 pages. arXiv admin note: text overlap with arXiv:1003.4922

References in corpus (3)

• Split Spetses for primitive reflection groups
• On certain varieties attached to a Weyl group element
• PyCox: Computing with (finite) Coxeter groups and Iwahori-Hecke algebras

Cited by in corpus (14)

• The Broué-Malle-Rouquier conjecture for the exceptional groups of rank 2
• On Refined Filtration By Supports for Rational Cherednik Categories O
• The Brauer trees of unipotent blocks
• Drinfeld double of quantum groups, tilting modules and $\mathbb{Z}$-modular data associated to complex reflection groups
• Minimally dominant elements of finite Coxeter groups
• A surface of degree $24$ with $1440$ singularities of type $D\_4$
• A refined count of Coxeter element factorizations
• The inductive blockwise Alperin weight condition for the Chevalley groups $F_4(q)$
• Harish-Chandra Cuspidal Pairs
• Bounds on the number of simple modules in blocks of finite groups of Lie type
• Decomposition numbers for the principal ${\Phi }_{2n}$-block of ${\mathrm{Sp}}_{4n}(q)$ and ${\mathrm{SO}}_{4n+1}(q)$
• On the computation of character values for finite Chevalley groups of exceptional type
• On the values of unipotent characters of finite Chevalley groups of type $E_7$ in characteristic 2
• The completion of the $3$-modular character table of the Chevalley group $F_4(2)$ and its covering group