Relative cluster tilting theory and $\ddot{I}„$-tilting theory

Yu Liu, Jixing Pan, Panyue Zhou

Let $\mathcal{C}$ be a Krull-Schmidt triangulated category with shift functor $[1]$ and $\mathcal{R}$ be a rigid subcategory of $\mathcal{C}$. We are concerned with the mutation of tw…