Cohomology of Lie coalgebras
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866929576855207936 |
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| author | Chuang, Joseph Lazarev, Andrey Sheng, Yunhe Tang, Rong |
| author_facet | Chuang, Joseph Lazarev, Andrey Sheng, Yunhe Tang, Rong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02884 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cohomology of Lie coalgebras Chuang, Joseph Lazarev, Andrey Sheng, Yunhe Tang, Rong K-Theory and Homology Category Theory 17B62, 17B56, 18N40 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. |
| title | Cohomology of Lie coalgebras |
| topic | K-Theory and Homology Category Theory 17B62, 17B56, 18N40 |
| url | https://arxiv.org/abs/2411.02884 |