On the unipotent characters of the Ree groups of type G_2

Details On the unipotent characters of the Ree groups of type G_2 On the unipotent characters of the Ree groups of type G_2

2008-07-23

arxiv.org/abs/0807.3766v1

Mathematics

Representation Theory

Scientific paper

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 of ^2G_2(3^{2n+1}) and we prove that the Fourier matrix of ^2G_2(3^{2n+1}) defined by Geck and Malle satisfies a conjecture of Digne-Michel. Our main tool is the Shintani descent of Ree groups of type G_2.

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