[{"file_date_updated":"2025-01-13T08:57:57Z","_id":"18154","date_created":"2024-09-29T22:01:37Z","page":"81-118","file":[{"file_size":731175,"date_created":"2025-01-13T08:57:57Z","file_name":"2024_JourAlgebra_Loewit.pdf","date_updated":"2025-01-13T08:57:57Z","content_type":"application/pdf","creator":"dernst","relation":"main_file","access_level":"open_access","file_id":"18830","checksum":"eb240e93c178e48429ad918c9058f1fe","success":1}],"scopus_import":"1","publication_identifier":{"eissn":["1090-266X"],"issn":["0021-8693"]},"publisher":"Elsevier","author":[{"full_name":"Löwit, Jakub","last_name":"Löwit","id":"e3b80ae2-eb8e-11eb-b029-9aef4a9108a0","first_name":"Jakub"}],"article_type":"original","title":"On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn","quality_controlled":"1","volume":663,"publication":"Journal of Algebra","day":"01","arxiv":1,"corr_author":"1","OA_place":"publisher","language":[{"iso":"eng"}],"year":"2025","intvolume":"       663","oa":1,"citation":{"short":"J. Löwit, Journal of Algebra 663 (2025) 81–118.","ieee":"J. Löwit, “On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn,” <i>Journal of Algebra</i>, vol. 663, no. 2. Elsevier, pp. 81–118, 2025.","ista":"Löwit J. 2025. On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn. Journal of Algebra. 663(2), 81–118.","ama":"Löwit J. On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn. <i>Journal of Algebra</i>. 2025;663(2):81-118. doi:<a href=\"https://doi.org/10.1016/j.jalgebra.2024.08.033\">10.1016/j.jalgebra.2024.08.033</a>","chicago":"Löwit, Jakub. “On modulo ℓ Cohomology of P-Adic Deligne–Lusztig Varieties for GLn.” <i>Journal of Algebra</i>. Elsevier, 2025. <a href=\"https://doi.org/10.1016/j.jalgebra.2024.08.033\">https://doi.org/10.1016/j.jalgebra.2024.08.033</a>.","apa":"Löwit, J. (2025). On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn. <i>Journal of Algebra</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jalgebra.2024.08.033\">https://doi.org/10.1016/j.jalgebra.2024.08.033</a>","mla":"Löwit, Jakub. “On modulo ℓ Cohomology of P-Adic Deligne–Lusztig Varieties for GLn.” <i>Journal of Algebra</i>, vol. 663, no. 2, Elsevier, 2025, pp. 81–118, doi:<a href=\"https://doi.org/10.1016/j.jalgebra.2024.08.033\">10.1016/j.jalgebra.2024.08.033</a>."},"ddc":["510"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"date_published":"2025-02-01T00:00:00Z","doi":"10.1016/j.jalgebra.2024.08.033","isi":1,"OA_type":"hybrid","status":"public","abstract":[{"lang":"eng","text":"In 1976, Deligne and Lusztig realized the representation theory of finite groups of Lie type inside étale cohomology of certain algebraic varieties. Recently, a p-adic version of this theory started to emerge: there are p-adic Deligne–Lusztig spaces, whose cohomology encodes representation theoretic information for p-adic groups – for instance, it partially realizes the local Langlands correspondence with characteristic zero coefficients. However, the parallel case of coefficients of positive characteristic  ℓ≠p has not been inspected so far. The purpose of this article is to initiate such an inspection. In particular, we relate cohomology of certain p-adic Deligne–Lusztig spaces to Vignéras's modular local Langlands correspondence for GLn."}],"month":"02","type":"journal_article","external_id":{"isi":["001325207800001"],"arxiv":["2404.11176"]},"oa_version":"Published Version","publication_status":"published","issue":"2","fulldoi":"https://doi.org/10.1016/j.jalgebra.2024.08.033","date_updated":"2025-02-27T12:32:40Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"TaHa"}],"article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1"}]