由三角范畴的Recollement构造其心范畴的Recollement

From Recollement of Triangulated Categories to Recollement of the Heart Categories

Nakaoka利用三角范畴上的余绕对构造出了Abel范畴,这推广了t-结构的心范畴以及关于cluster倾斜子范畴的商范畴的两种情形.之后,Nakaoka又将此结果推广至更一般的关于双余绕对的情形.本文通过考虑双余绕对,由三角范畴的recollement构造出了其心范畴的recollement,它推广了关于余绕对的相关结果.

In the paper of Nakaoka, he constructed an Abelian category from a cotorsion pair on a triangulated category. The resul- ting Abelian category generalizes the of a t-structure and the quotient a cluster tilting subcategory. After that, Nakaoka generalized these results to a more general setting called twin cotorsion pair. In this article,we construct recollement of the heart eategories from a recollement of triangulated categories by considering twin cortorsion pair. It generalized the results about cotorsion pair.