ON INVERSE CATEGORIES AND TRANSFER IN COHOMOLOGY
Linckelmann, . (2013). ON INVERSE CATEGORIES AND TRANSFER IN COHOMOLOGY. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 56(1), pp. 187-210. doi: 10.1017/S0013091512000211
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Abstract
It follows from methods of B. Steinberg [22], extended to inverse categories, that finite inverse category algebras are isomorphic to their associated groupoid algebras; in particular, they are symmetric algebras with canonical symmetrising forms. We deduce the existence of transfer maps in cohomology and Hochschild cohomology from certain inverse subcategories. This is in part motivated by the observation that for certain categories C, being a Mackey functor on C is equivalent to being extendible to a suitable inverse category containing C. We show further that extensions of inverse categories by abelian groups are again inverse categories.
Publication Type: | Article |
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Publisher Keywords: | Inverse category; transfer; cohomology |
Subjects: | Q Science > QA Mathematics |
Departments: | School of Science & Technology |
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On inverse categories and transfer in cohomology. (deposited 13 Aug 2014 15:22)
- ON INVERSE CATEGORIES AND TRANSFER IN COHOMOLOGY. (deposited 24 Apr 2015 08:38) [Currently Displayed]