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COHOMOLOGICAL MACKEY 2-FUNCTORS
Published online by Cambridge University Press: 18 August 2022
Abstract
We show that the bicategory of finite groupoids and right-free permutation bimodules is a quotient of the bicategory of Mackey 2-motives introduced in [2], obtained by modding out the so-called cohomological relations. This categorifies Yoshida’s theorem for ordinary cohomological Mackey functors and provides a direct connection between Mackey 2-motives and the usual blocks of representation theory.
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- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 23 , Issue 1 , January 2024 , pp. 279 - 309
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press
Footnotes
First-named author partially supported by NSF grant DMS-1901696.
Second-named author partially supported by Project ANR ChroK (ANR-16-CE40-0003) and Labex CEMPI (ANR-11-LABX-0007-01).
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