English

The dominant dimension of cohomological Mackey functors

Representation Theory 2017-03-24 v1

Abstract

We show that a separable equivalence between symmetric algebras preserves the dominant dimensions of certain endomorphism algebras of modules. We apply this to show that the dominant dimension of the category coMack(B) of cohomological Mackey functors of a p-block B of a finite group with a nontrivial defect group is 2.

Keywords

Cite

@article{arxiv.1703.07820,
  title  = {The dominant dimension of cohomological Mackey functors},
  author = {Markus Linckelmann},
  journal= {arXiv preprint arXiv:1703.07820},
  year   = {2017}
}