Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6426064 | Advances in Mathematics | 2011 | 45 Pages |
Abstract
We study the André-Quillen cohomology with coefficients of an algebra over an operad. Using resolutions of algebras coming from the Koszul duality theory, we make this cohomology theory explicit and we give a Lie theoretic interpretation. For which operads is the associated André-Quillen cohomology equal to an Ext-functor? We give several criteria, based on the cotangent complex, to characterize this property. We apply it to homotopy algebras, which gives a new homotopy stable property for algebras over cofibrant operads.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Joan Millès,