4 papers
A new construction of the asymptotic algebra associated to the -Schur algebra
Olivier Brunat, Max Neunhöffer
We denote by A the ring of Laurent polynomials in the indeterminate v and by K its field of fractions. In this paper, we are interested in representation theory of the "generic" q-…
On the unipotent characters of the Ree groups of type G_2
Olivier Brunat
This note is concerned with the unipotent characters of the Ree groups of type G_2. We determine the roots of unity associated by Lusztig and Digne-Michel to unipotent characters o…
On Lusztig's conjecture for connected and disconnected exceptional groups
Olivier Brunat
Lusztig conjectured that the almost characters of a finite reductive group are up to a scalar the same as the characteristic functions of the rational character sheaves defined on…
The Shintani descents of Suzuki Groups and consequences
Olivier Brunat
The main aim of this paper is to associate to every cuspidal unipotent character of the Suzuki group its root of unity and to give a possible defintion of the Fourier matrix associ…