C. R. Acad. Sci. Paris 305 (1987), 225-228

Bernhard Keller and Dieter Vossieck

This note has three objectives: 1. To explain Happel's description of the derived category of a finite-dimensional algebra. 2. To simplify a construction of A. Beilinson, J. Bernstein and P. Deligne (Astérisque 100) which relates a derived category to the derived categories of the hearts of its t-structures. 3. To buttress foundations which were left somewhat shaky.

Bernhard Keller, le 22 février 2005.
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