三角范畴的Grothendieck群
表示论
2024-08-01 v3 范畴论
摘要
我们给出以下已知结果的直接证明：具有倾斜子范畴的三角范畴的Grothendieck群同构于该倾斜子范畴的分裂Grothendieck群。此外，我们得到了其丛倾斜类比。
引用
@article{arxiv.2404.15800,
title = {The Grothendieck group of a triangulated category},
author = {Xiao-Wu Chen and Zhi-Wei Li and Xiaojin Zhang and Zhibing Zhao},
journal= {arXiv preprint arXiv:2404.15800},
year = {2024}
}
备注
added a new section to discuss the cluster-tilting analogue