Closure relations of Newton strata in Iwahori double cosets

We consider the Newton stratification on Iwahori double cosets for a connected reductive group. We prove the existence of Newton strata whose closures cannot be expressed as a union of strata, and show how this is implied by the existence of non-equidimensional affine Deligne–Lusztig varieties. We a...

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Autores principales: Trentin, Stefania, Viehmann, Eva
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9834129/
https://www.ncbi.nlm.nih.gov/pubmed/36643869
http://dx.doi.org/10.1007/s00229-021-01349-9
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author Trentin, Stefania
Viehmann, Eva
author_facet Trentin, Stefania
Viehmann, Eva
author_sort Trentin, Stefania
collection PubMed
description We consider the Newton stratification on Iwahori double cosets for a connected reductive group. We prove the existence of Newton strata whose closures cannot be expressed as a union of strata, and show how this is implied by the existence of non-equidimensional affine Deligne–Lusztig varieties. We also give an explicit example for a group of type [Formula: see text] .
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spelling pubmed-98341292023-01-13 Closure relations of Newton strata in Iwahori double cosets Trentin, Stefania Viehmann, Eva Manuscr Math Article We consider the Newton stratification on Iwahori double cosets for a connected reductive group. We prove the existence of Newton strata whose closures cannot be expressed as a union of strata, and show how this is implied by the existence of non-equidimensional affine Deligne–Lusztig varieties. We also give an explicit example for a group of type [Formula: see text] . Springer Berlin Heidelberg 2021-12-17 2023 /pmc/articles/PMC9834129/ /pubmed/36643869 http://dx.doi.org/10.1007/s00229-021-01349-9 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Trentin, Stefania
Viehmann, Eva
Closure relations of Newton strata in Iwahori double cosets
title Closure relations of Newton strata in Iwahori double cosets
title_full Closure relations of Newton strata in Iwahori double cosets
title_fullStr Closure relations of Newton strata in Iwahori double cosets
title_full_unstemmed Closure relations of Newton strata in Iwahori double cosets
title_short Closure relations of Newton strata in Iwahori double cosets
title_sort closure relations of newton strata in iwahori double cosets
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9834129/
https://www.ncbi.nlm.nih.gov/pubmed/36643869
http://dx.doi.org/10.1007/s00229-021-01349-9
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