Mathematical Research Letters

Volume 1, Issue 1, January 1994 pp. 87-94.

Derived categories and motives

Authors: I. Kriz and J. P. May
Author institution: University of Chicago

Summary: We relate derived categories of modules over rational DGA's to categories of comodules over associated Hopf algebras, and we explain how this implies the equivalence of definitions of mixed Tate motives proposed by Bloch and Deligne. We also describe an approach to integral mixed Tate motives in terms of the derived categories of modules over certain $E_\infty$ algebras.

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