Definable functors between triangulated categories with applications to tensor-triangular geometry and representation theory

I Bird, J Williamson - arXiv preprint arXiv:2310.02159, 2023 - arxiv.org
We systematically develop, study, and give applications of definable functors between
compactly generated triangulated categories. Such functors preserve pure triangles, pure …

Finiteness properties and homological dimensions of skew group rings

V Gubitosi, R Parra - arXiv preprint arXiv:2207.10599, 2022 - arxiv.org
Let $ G $ be a finite group acting on a ring $ R $ and $ H $ a subgroup of $ G $. In this paper
we compare some homological dimensions over the skew group rings $ RG $ and $ RH …