The Duflo–Serganova Functor, Vingt Ans Après

IF 1.8 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Journal of the Indian Institute of Science Pub Date : 2022-11-14 DOI:10.1007/s41745-022-00334-9

Maria Gorelik, Crystal Hoyt, Vera Serganova, Alexander Sherman

引用次数: 6

Abstract

We review old and new results concerning the \(DS\) functor and associated varieties for Lie superalgebras. These notions were introduced in the unpublished manuscript (Duflo and Serganova in On associated variety for Lie super-algebras, 2005) by Michel Duflo and the third author. This paper includes the results and proofs of the original manuscript, as well as a survey of more recent results.

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Duflo - Serganova Functor，二十年后

本文综述了李超代数\(DS\)函子及其相关变分的旧的和新的结果。这些概念是由Michel Duflo和第三作者在未发表的手稿(Duflo和Serganova in On associated variety for Lie - superalgebras, 2005)中引入的。本文包括原始手稿的结果和证明，以及对最近结果的调查。

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

Journal of the Indian Institute of Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.30

自引率

0.00%

发文量

期刊介绍： Started in 1914 as the second scientific journal to be published from India, the Journal of the Indian Institute of Science became a multidisciplinary reviews journal covering all disciplines of science, engineering and technology in 2007. Since then each issue is devoted to a specific topic of contemporary research interest and guest-edited by eminent researchers. Authors selected by the Guest Editor(s) and/or the Editorial Board are invited to submit their review articles; each issue is expected to serve as a state-of-the-art review of a topic from multiple viewpoints.