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math.RT2008
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-…
math.RT2008
A basic set for the alternating group
Olivier Brunat, Jean-Baptiste Gramain
This article concerns the -basic set existence problem in the representation theory of finite groups. We show that, for any odd prime , the alternating group $\A_n$ has a …
math.RT2008
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…