Year: 2025
Type: article
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 σ -conjugacy classes.
Source: Algebra & Number Theory
Author: Felix Schremmer
Institution: University of Hong Kong
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W4414012955