Derived equivalences and equivariant Jordan decomposition

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

Lucas Ruhstorfer

引用次数: 0

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.

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导出等价和等变约旦分解

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。

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来源期刊

Representation Theory MATHEMATICS-

CiteScore

0.90

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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.

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