8 papers
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…
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…
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…
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…