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arXiv · 2306.06873

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

Felix Schremmer
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Abstract

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.

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BibTeXRIS

Felix Schremmer. 2023-06-12. Affine Deligne-Lusztig varieties via the double Bruhat graph II: Iwahori-Hecke algebra. https://doi.org/10.2140/ant.2025.19.2015

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