The Duflo–Serganova Functor, Vingt Ans Après

Maria Gorelik; Crystal Hoyt; Vera Serganova; Alexander Sherman

doi:10.1007/s41745-022-00334-9

The Duflo–Serganova Functor, Vingt Ans Après

Maria Gorelik, Crystal Hoyt, Vera Serganova, Alexander Sherman

Department of Mathematics

Research output: Contribution to journal › Review article › peer-review

7 Scopus citations

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 These notions were introduced in the unpublished manuscript (Duflo and Serganova in On associated variety for Lie super-algebras, 2005) by Michel Duflo and the third author.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.

Original language	English
Pages (from-to)	961-1000
Number of pages	40
Journal	Journal of the Indian Institute of Science
Volume	102
Issue number	3
DOIs	https://doi.org/10.1007/s41745-022-00334-9
State	Published - 1 Jul 2022

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AU - Hoyt, Crystal

AU - Serganova, Vera

AU - Sherman, Alexander

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AB - 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 These notions were introduced in the unpublished manuscript (Duflo and Serganova in On associated variety for Lie super-algebras, 2005) by Michel Duflo and the third author.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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The Duflo–Serganova Functor, Vingt Ans Après

Abstract

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