Wakamatsu tilting subcategories and weak support tau-tilting subcategories in recollements
Representation Theory
2025-10-07 v2 Category Theory
K-Theory and Homology
Abstract
In this article, we prove that if (A, B, C) is a recollement of abelian categories, then Wakamatsu tilting (resp. weak support tau-tilting) subcategories in A and C can induce Wakamatsu tilting (resp. weak support tau-tilting) subcategories in B, and the converses hold under natural assumptions. As an application, we mainly consider the relationship of tau-cotorsion torsion triples in (A, B, C).
Keywords
Cite
@article{arxiv.2409.07026,
title = {Wakamatsu tilting subcategories and weak support tau-tilting subcategories in recollements},
author = {Yongduo Wang and Hongyang Luo and Yu-Zhe Liu and Jian He and Dejun Wu},
journal= {arXiv preprint arXiv:2409.07026},
year = {2025}
}
Comments
Added Section 6: Examples, to appeaer in Comm. Algebra