11 papers
Lifting -structures through coverings with applications to fractional Brauer graph algebras
Bohan Xing
Under suitable group actions, it is known that -structures descend to orbit categories. We study the converse problem of lifting an -structure to a prescribed c…
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 classification of derived-discrete graded algebras
Riku Fushimi, Bohan Xing
A finite-dimensional algebra is derived-discrete, in the sense of Vossieck, precisely when it is a piecewise hereditary algebra of Dynkin type or a gentle one-cycle algebra not sat…
Invariants of derived equivalences for admissible fractional Brauer graph algebras
Bohan Xing
Characterizing derived equivalences between algebras via combinatorial structures has recently become a popular topic. In this paper, we study admissible fractional Brauer graph al…
Two-term tilting complexes of biserial fractional Brauer graph algebras
Bohan Xing
Brauer graph algebras form a classical class of symmetric algebras with well-structured combinatorial properties and geometric models. Recently, they have been generalized to biser…
The second Hochschild cohomology and deformations of Brauer graph algebras
Yuming Liu, Zhengfang Wang, Bohan Xing
In this paper, we give an explicit description about the second Hochschild cohomology groups of bipartite Brauer graph algebras with trivial grading. Based on this, we provide geom…
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…
Quasi-biserial algebras, special quasi-biserial algebras and symmetric fractional Brauer graph algebras
Bohan Xing
Biserial algebras are a classical class in the representation theory of algebras, generalizing Nakayama algebras. They were further generalized by Green and Schroll to multiserial…
Trivial extensions of monomial algebras are symmetric fractional Brauer configuration algebras
Yuming Liu, Bohan Xing
By providing equivalent definitions of fractional Brauer configuration algebras in certain special cases, we associate to each monomial algebra some combinatorial data called a fra…
A note on higher structures on the complexes associated to quiver algebras with applications to toupie algebras
Yuming Liu, Bohan Xing
In this paper, we summarize a general method of transforming DG structures into higher structures on the various complexes related to the reduced bar resolution of a given quiver a…