6 papers · 1 filter
Classification of Brauer graph algebras under stable equivalence of Morita type
Nengqun Li, Pengyun Chen, Yuming Liu +1
The classification of Brauer graph algebras under derived equivalence was recently given by Opper and Zvonareva. In this paper, we prove that two Brauer graph algebras are derived…
Brauer graph algebras are closed under stable equivalence of Morita type
Pengyun Chen, Nengqun Li, Yuming Liu +1
We study stable equivalences of Brauer graph algebras. In particular, we prove that Brauer graph algebras are closed up to semisimple summands under stable equivalence of Morita ty…
A lecture note on covering theory in representation theory of algebras
Yuming Liu, Nengqun Li, Bohan Xing +1
Covering theory is an important tool in representation theory of algebras, however, the results and the proofs are scattered in the literature. We give an introduction to covering…
Fractional Brauer configuration algebras III: fractional Brauer graph algebras of type MS
Nengqun Li, Yuming Liu
In previous two papers, we defined fractional Brauer configuration algebras and developed their covering theory. In this paper, we study the representation theory of fractional Bra…
Fractional Brauer configuration algebras II: covering theory
Nengqun Li, Yuming Liu
In this paper, we develop a covering theory for the fractional Brauer configurations and connect it with the coverings of the associated quivers with relations in the sense of Mart…
Fractional Brauer configuration algebras I: definitions and examples
Nengqun Li, Yuming Liu
In 2017, Green and Schroll introduced a generalization of Brauer graph algebras which they call Brauer configuration algebras. In the present paper, we further generalize Brauer co…