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arXiv · 2103.03974

Cohomological Mackey 2-functors

Paul Balmer·Ivo Dell'Ambrogio
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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 arXiv:1808.04902, 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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BibTeXRIS

Paul Balmer, Ivo Dell'Ambrogio. 2021-03-05. Cohomological Mackey 2-functors. https://doi.org/10.1017/s1474748022000408

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