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 These notions were introduced in the unpublished manuscript (Duflo and Serganova in On associated variety for Lie super-algebras, 2005) by Michel Duflo and the third author.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.
Bibliographical noteFunding Information:
M.G. was supported by ISF Grant 1957/21. C.H. was supported by ISF Grant 1221/17. V.S. was supported by NSF Grant 2001191. A.S. was supported by ISF Grant 711/18 and NSF-BSF Grant 2019694.
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