On C-small conjugacy classes in a reductive group

Details On C-small conjugacy classes in a reductive group On C-small conjugacy classes in a reductive group

2010-05-24

arxiv.org/abs/1005.4313v2

Mathematics

Representation Theory

19 pages

Scientific paper

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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