Lattices of minimum covolume in Chevalley groups over local fields of positive characteristic

Details Lattices of minimum covolume in Chevalley groups over local fields of positive characteristic Lattices of minimum covolume in Chevalley groups over local fields of positive characteristic

2011-09-29

arxiv.org/abs/1109.6429v1

Duke Mathematical Journal, 146 no. 2 (2009) 227-251

Mathematics

Group Theory

Scientific paper

10.1215/00127094-2008-064

In this article, we show that if G is a simply connected Chevalley group of
either classical type of rank bigger than 1 or type E6, and q > 9 is a power of
a prime number p > 5, then G = G(F_q((1/t))), up to an automorphism, has a
unique lattice of minimum covolume, which is G(F_q[t]).

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