导出等价和等变约旦分解

IF 0.7 3区数学 Q2 MATHEMATICS Representation Theory Pub Date : 2022-04-27 DOI:10.1090/ert/605

Lucas Ruhstorfer

{"title":"导出等价和等变约旦分解","authors":"Lucas Ruhstorfer","doi":"10.1090/ert/605","DOIUrl":null,"url":null,"abstract":"Abstract:The Bonnafé–Rouquier equivalence can be seen as a modular analogue of Lusztig’s Jordan decomposition for groups of Lie type. In this paper, we show that this equivalence can be lifted to include automorphisms of the finite group of Lie type. Moreover, we prove the existence of a local version of this equivalence which satisfies similar properties. <hr align=\"left\" noshade=\"noshade\" width=\"200\"/>","PeriodicalId":51304,"journal":{"name":"Representation Theory","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2022-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Derived equivalences and equivariant Jordan decomposition\",\"authors\":\"Lucas Ruhstorfer\",\"doi\":\"10.1090/ert/605\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract:The Bonnafé–Rouquier equivalence can be seen as a modular analogue of Lusztig’s Jordan decomposition for groups of Lie type. In this paper, we show that this equivalence can be lifted to include automorphisms of the finite group of Lie type. Moreover, we prove the existence of a local version of this equivalence which satisfies similar properties. <hr align=\\\"left\\\" noshade=\\\"noshade\\\" width=\\\"200\\\"/>\",\"PeriodicalId\":51304,\"journal\":{\"name\":\"Representation Theory\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2022-04-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Representation Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1090/ert/605\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Representation Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1090/ert/605","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

摘要:对于Lie型群，bonnaf - rouquier等价可以看作是Lusztig Jordan分解的模类比。在本文中，我们证明了这个等价可以提升到包含Lie型有限群的自同构。此外，我们还证明了这个等价的一个满足类似性质的局部版本的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Derived equivalences and equivariant Jordan decomposition

Abstract:The Bonnafé–Rouquier equivalence can be seen as a modular analogue of Lusztig’s Jordan decomposition for groups of Lie type. In this paper, we show that this equivalence can be lifted to include automorphisms of the finite group of Lie type. Moreover, we prove the existence of a local version of this equivalence which satisfies similar properties.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Representation Theory MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. Representation Theory is an open access journal freely available to all readers and with no publishing fees for authors.

期刊最新文献

On input and Langlands parameters for epipelagic representations L-packets over strong real forms Calculus of archimedean Rankin–Selberg integrals with recurrence relations Derived equivalences and equivariant Jordan decomposition Branching of metaplectic representation of 𝑆𝑝(2,ℝ) under its principal 𝕊𝕃(2,ℝ)-subgroup