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arXiv · 1005.4313

On C-small conjugacy classes in a reductive group

G. Lusztig
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Abstract

Let G be an almost simple reductive group with Weyl group W. Let B be a Borel subgroup of G. Let C be an elliptic conjugacy class in W and let w be an element of minimal length of C. We investigate the existence of a semisimple class of G whose intersection with BwB has dimension dim(B). We show that in good characteristic such a semisimple class exists almost always.

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G. Lusztig. 2010-05-24. On C-small conjugacy classes in a reductive group. https://arxiv.org/abs/1005.4313

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