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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中文翻译：

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导出等价和等变 Jordan 分解

摘要：Bonnafé-Rouquier 等价可以看作是 Lusztig 对李型群的 Jordan 分解的模模拟。在本文中，我们展示了这种等价性可以提升到包括李型有限群的自同构。此外，我们证明了满足相似性质的这种等价的本地版本的存在。

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