The development version of the CHEVIE package of GAP3

TL;DR

This paper discusses the latest development version of the CHEVIE package in GAP3, which provides computational tools for algebraic structures like Coxeter groups and Hecke algebras, including code examples for verifying Lusztig's results.

Contribution

It introduces the updated features and capabilities of the CHEVIE package, enhancing computational algebra research.

Findings

Updated code for algebraic computations

Verification of Lusztig's results using CHEVIE

Enhanced tools for Coxeter groups and related structures

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.