Section: Lecture 7 (Mar 5): Derived functors | Derived Category VT26

Section outline

We showed that the right-derived functor $RF\colon D^+(\mathcal{A})\to D^+(\mathcal{B})$ to an additive functor $F\colon\mathcal{A}\to\mathcal{B}$ exists if $\mathcal{A}$ has enough injectives. Examples: $RHom(M,-)$ , $M\overset{L}{\otimes} -$ , $R\mathcal{H}om(M,-)$ . We also did "complex Hom", $Hom^\bullet(A^\bullet,B^\bullet)$ and its right-derived functors.
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