Cohomology of Lie coalgebras
Chuang, J., Lazarev, A., Sheng, Y. & Tang, R. (2026). Cohomology of Lie coalgebras. Journal of Noncommutative Geometry, doi: 10.4171/jncg/653
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.
| Publication Type: | Article |
|---|---|
| Additional Information: | © European Mathematical Society. This is the version of the article as accepted for publication. The final version is available at: 10.4171/JNCG/653 |
| Publisher Keywords: | Lie coalgebra, comodule, cohomology, Koszul duality |
| Subjects: | Q Science > QA Mathematics |
| Departments: | School of Science & Technology School of Science & Technology > Department of Mathematics |
| SWORD Depositor: |
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Official URL: https://doi.org/10.4171/jncg/653
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