Abstract
AbstractWe 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.
Publisher
Cambridge University Press (CUP)
Reference20 articles.
1. [7] I. Dell’Ambrogio, ‘Green 2-functors’, Trans. Amer. Math. Soc. (to appear), Preprint, 2021.
2. The Burnside bicategory of groupoids
3. [16] Oda, F. , Tagegahara, Y. and Yoshida, T. , ‘Crossed Burnside rings and cohomological Mackey 2-motives’, Preprint, 2022, arXiv:2201.04744.
Cited by
2 articles.
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1. An Introduction to Mackey and Green 2-Functors;Abel Symposia;2024
2. Green 2-functors;Transactions of the American Mathematical Society;2022-09-02