Cohomology of Lie coalgebras
K-Theory and Homology
2024-11-06 v1 Category Theory
Abstract
A Koszul duality-type correspondence between coderived categories of conilpotent differential graded Lie coalgebras and their Chevalley-Eilenberg differential graded algebras is established. This gives an interpretation of Lie coalgebra cohomology as a certain kind of derived functor. A similar correspondence is proved for coderived categories of commutative cofibrant differential graded algebras and their Harrison differential graded Lie coalgebras.
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Cite
@article{arxiv.2411.02884,
title = {Cohomology of Lie coalgebras},
author = {Joseph Chuang and Andrey Lazarev and Yunhe Sheng and Rong Tang},
journal= {arXiv preprint arXiv:2411.02884},
year = {2024}
}
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23 pages