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arXiv · 0807.3766

On the unipotent characters of the Ree groups of type G_2

Olivier Brunat
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Abstract

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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Olivier Brunat. 2008-07-23. On the unipotent characters of the Ree groups of type G_2. https://arxiv.org/abs/0807.3766

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