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The Koszul complex is the cotangent complex
| Content Provider | Semantic Scholar |
|---|---|
| Author | Millès, Joan |
| Copyright Year | 2010 |
| Abstract | We extend the Koszul duality theory of associative algebras to algebras over an operad. Recall that in the classical case, this Koszul duality theory relies on an important chain complex: the Koszul complex. We show that the cotangent complex, involved in the cohomology theory of algebras over an operad, generalizes the Koszul complex. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/hal-00551945/document |
| Alternate Webpage(s) | http://webdoc.sub.gwdg.de/ebook/serien/e/mpi_mathematik/2010/2010_032.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Fenchel's duality theorem |
| Content Type | Text |
| Resource Type | Article |