Yoshida algebra for groupoids
范畴论
2026-05-12 v1
摘要
In this paper, we extend the notion of the Yoshida algebra of a finite group introduced in \cite{Yos83} to finite groupoids and investigate its fundamental properties. Our main results show that the center of the Yoshida algebra of a finite groupoid is isomorphic to the center of the corresponding groupoid algebra, and that there exists a surjective ring homomorphism from the crossed Burnside ring of a finite groupoid, introduced in \cite{Shi26+}, onto the center of the Yoshida algebra of a finite groupoid.
引用
@article{arxiv.2605.09563,
title = {Yoshida algebra for groupoids},
author = {Keitaro Shiizuka},
journal= {arXiv preprint arXiv:2605.09563},
year = {2026}
}