# Diagonal $p$-permutation functors.

@article{Bouc2019DiagonalF,
title={Diagonal \$p\$-permutation functors.},
author={S. Bouc and D. Yılmaz},
journal={arXiv: Group Theory},
year={2019}
}
• Published 2019
• Mathematics
• arXiv: Group Theory
• Let $k$ be an algebraically closed field of positive characteristic $p$, and $\mathbb{F}$ be an algebraically closed field of characteristic 0. We consider the $\mathbb{F}$-linear category $\mathbb{F} pp_k^\Delta$ of finite groups, in which the set of morphisms from $G$ to $H$ is the $\mathbb{F}$-linear extension $\mathbb{F} T^\Delta(H,G)$ of the Grothendieck group $T^\Delta(H,G)$ of $p$-permutation $(kH,kG)$-bimodules with (twisted) diagonal vertices. The $\mathbb{F}$-linear functors from… CONTINUE READING