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arXiv:2306.06873 [math.RT]AbstractReferencesReviewsResources

Affine Deligne-Lusztig varieties via the double Bruhat graph II: Iwahori-Hecke algebra

Felix Schremmer

Published 2023-06-12Version 1

We introduce a new language to describe the geometry of affine Deligne-Lusztig varieties in affine flag varieties. This second part of a two paper series uses this new language, i.e. the double Bruhat graph, to describe certain structure constants of the Iwahori-Hecke algebra. As an application, we describe nonemptiness and dimension of affine Deligne-Lusztig varieties for most elements of the affine Weyl group and arbitrary $\sigma$-conjugacy classes.

Comments: 37 pages; comments appreciated
Categories: math.RT, math.AG
Subjects: 20G25, 11G25, 20C08
Related articles: Most relevant | Search more
arXiv:1006.2291 [math.RT] (Published 2010-06-11)
Dimensions of affine Deligne-Lusztig varieties in affine flag varieties
arXiv:0803.3361 [math.RT] (Published 2008-03-24)
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arXiv:math/0303146 [math.RT] (Published 2003-03-12)
Formulas for the dimensions of some affine Deligne-Lusztig Varieties

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