Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions

Details Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions

2006-08-17

arxiv.org/abs/math/0608444v1

Mathematics

K-Theory and Homology

17 pages

Scientific paper

In this article we prove derived invariance of Hochschild-Mitchell homology
and cohomology and we extend to $k$-linear categories a result by Barot and
Lenzing concerning derived equivalences and one-point extensions.
We also prove the existence of a Happel long exact sequence and we give a
generalization of this result which provides an alternative approach.

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