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arXiv · 1109.6429

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

Alireza Salehi Golsefidy
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Abstract

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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Alireza Salehi Golsefidy. 2011-09-29. Lattices of minimum covolume in Chevalley groups over local fields of positive characteristic. https://doi.org/10.1215/00127094-2008-064

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