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math.RT2024
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…
math.RA2024
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…
math.RT2024
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…