arXiv Analytics

Sign in

arXiv:1912.07665 [math.RT]AbstractReferencesReviewsResources

The sections of the Weyl group

Moshe Adrian

Published 2019-12-16Version 1

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.

Comments: 27 pages
Categories: math.RT, math.GR, math.NT
Related articles: Most relevant | Search more
arXiv:1006.0269 [math.RT] (Published 2010-06-02)
Certain subgroups of Weyl groups are split
arXiv:math/0405555 [math.RT] (Published 2004-05-28)
On the number of simple modules of Iwahori--Hecke algebras of finite Weyl groups
arXiv:math/0101170 [math.RT] (Published 2001-01-20, updated 2004-05-03)
On certain representations of automorphism groups of an algebraically closed field

Links

Toolbox