3 papers
math.RA2026
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…
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…