Yichao Yang

collaborators

3 papers

math.RT2016

On a cluster category of type $D_{\infty}$

Yichao Yang

We study the canonical orbit category of the bounded derived category of finite dimensional representations of the quiver of type $D_{\infty}$ . We prove that this orbit category is…

math.RT2015

A new characterization of hereditary algebras

Yichao Yang, Jinde Xu

In this short paper we prove that a finite dimensional algebra is hereditary if and only if there is no loop in its ordinary quiver and every $τ$ -tilting module is tilting.

math.RT2015

Distributive lattices of tilting modules and support $τ$ -tilting modules over path algebras

Yichao Yang

In this paper we study the poset of basic tilting $k Q$ -modules when $Q$ is a Dynkin quiver, and the poset of basic support $τ$ -tilting $k Q$ -modules when $Q$ is a connected acyclic…

On a cluster category of type D∞​

A new characterization of hereditary algebras

Distributive lattices of tilting modules and support τ-tilting modules over path algebras

On a cluster category of type $D_{\infty}$

Distributive lattices of tilting modules and support $τ$ -tilting modules over path algebras