The dominant dimension of cohomological Mackey functors

Linckelmann, M. (2018). The dominant dimension of cohomological Mackey functors. Journal of Algebra and its Applications, doi: 10.1142/S0219498818502286

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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.

Publication Type: Article
Publisher Keywords: Dominant dimension; cohomological Mackey functors
Subjects: Q Science > QA Mathematics
Departments: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/19893

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