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The sections of the Weyl group

Published 16 Dec 2019 in math.RT, math.GR, and math.NT | (1912.07665v2)

Abstract: We compute all sections of the finite Weyl group, that satisfy the braid relations, in the case that G is an almost-simple connected reductive group defined over an algebraically closed field. We then demonstrate that this set of sections has an interesting partially ordered structure, and also give some applications.

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