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- W4311321312 abstract "In this paper, we consider affine Deligne-Lusztig varieties $X_w(b)$ and their certain union $X(mu,b)$ inside the affine flag variety of a reductive group. Several important results in the study of affine Deligne-Lusztig varieties have been established under the so-called superregularity hypothesis. Such results include a description of generic Newton points in Iwahori double cosets of loop groups, covering relation in associated Iwahori-Weyl group and dimension formula for $X(mu,b)$. We show that one can considerably weaken the superregularity hypothesis and sometimes completely eliminate it, thus strengthening these existing results." @default.
- W4311321312 created "2022-12-25" @default.
- W4311321312 creator A5015316816 @default.
- W4311321312 date "2021-10-05" @default.
- W4311321312 modified "2023-10-18" @default.
- W4311321312 title "Affine Deligne-Lusztig Varieties and Quantum Bruhat Graph" @default.
- W4311321312 doi "https://doi.org/10.48550/arxiv.2110.02172" @default.
- W4311321312 hasPublicationYear "2021" @default.
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