Applicable Algebra in Engineering, Communicationâ€¦

1996

CHEVIE is a computer algebra package which collects data and programs for the representation theory of finite groups of Lie type and associated structures. We explain the theoretical and conceptualâ€¦ (More)

Presentations a la Coxeter are given for all irreducible nite com plex re ection groups They provide presentations for the corresponding generalized braid groups for all but six cases which allow usâ€¦ (More)

In 1980, Lusztig posed the problem of showing the existence of a unipotent support for the irreducible characters of a finite group of Lie type. This problem was solved by Lusztig in the case whereâ€¦ (More)

The non-Abelian finite simple groups and their automorphism groups play a crucial role in an inductive approach to the inverse problem of Galois theory. The rigidity method (see, for example, Malleâ€¦ (More)

We determine the generic degrees of cyclotomic Hecke algebras attached to exceptional finite complex reflection groups. The results are used to introduce the notion of spetsial reflection group,â€¦ (More)

We report on computational results indicating that the well-known Cohenâ€“Lenstraâ€“Martinet heuristic for class groups of number fields may fail in many situations. In particular, the underlyingâ€¦ (More)

To Charlie Curtis Contents 0. Introduction 1. Notation, prerequisites and complements A. Generic nite reductive groups Usual invariants of a generic nite reductive group Class functions on G d{splitâ€¦ (More)

Note that the hypothesis that V has no two-dimensional composition factors is vacuous if the characteristic of k is not 2. For our intended subsequent application it is critical that the g âˆˆ G thatâ€¦ (More)