The Duflo-Serganova functor, vingt ans apr\`es
Representation Theory
2023-07-20 v2
Abstract
We review old and new results concerning the functor and associated varieties for Lie superalgebras. These notions were introduced in the unpublished manuscript arXiv:math/0507198 by Michel Duflo and the third author.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.
Keywords
Cite
@article{arxiv.2203.00529,
title = {The Duflo-Serganova functor, vingt ans apr\`es},
author = {Maria Gorelik and Crystal Hoyt and Vera Serganova and Alexander Sherman},
journal= {arXiv preprint arXiv:2203.00529},
year = {2023}
}
Comments
67 pages; second version with expanded introduction and typos fixed; accepted to Journal of the Indian Institute of Science