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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

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 if q>9 is a power of a prime number p>5, then G=G(Fq((t−1))), up to an automorphism, has a unique lattice of minimum covolume, …