We provide a model category structure on the category of "nicely" enriched symmetric multicategories and use this structure to provide a description of the derived category of an algebra over an operad as the category whose hom-sets are isomorphism classes of certain bimodules. This allows us to define a derived Morita theory (in the sense of Toen). We will finish the talk with some applications to combinatorial representation theory. |
Department of Mathematics, University of Oregon, Eugene OR 97403
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