Geometry of chain complexes and outer automorphisms under derived equivalence
Geometry of chain complexes and outer automorphisms under derived equivalence
The two main theorems proved here are as follows: If $A$ is a finite dimensional algebra over an algebraically closed field, the identity component of the algebraic group of outer automorphisms of $A$ is invariant under derived equivalence. This invariance is obtained as a consequence of the following generalization of …