6 citations · 14 across the 9 of their papers we have counts for
8 papers · 1 filter
Multi-layer quivers and higher slice algebras
Jin Yun Guo, Yanping Hu, Deren Luo
In this paper, we introduce multi-layer quiver and show how to construct an -slice algebras of infinite type from an -slice algebra of infinite type using the bound quive…
On -hereditary algebras and -slice algebras
Jin Yun Guo, Yanping Hu
In this paper we show that acyclic -slice algebras are exactly acyclic -hereditary algebras whose -preprojective algebras are -Koszul. We also list the equi…
On -slice Algebras and Related Algebras
Jin Yun Guo, Cong Xiao, Xiaojian Lu
The -slice algebra is introduced as a generalization of path algebra in higher dimensional representation theory. In this paper, we give a classification of -slice algebras v…
type constructions in higher representation theory
Jin Yun Guo, Xiaojian Lu, Deren Luo
Let be an acyclic quiver, it is classical that certain truncations of the translation quiver appear in the Auslander-Reiten quiver of the path algebra . The s…
On Trivial Extensions and Higher Preprojective Algebras
Jin Yun Guo
In this paper, we show that for a Koszul -homogeneous algebra , the quadratic dual of certain twisted trivial extension is the -preprojective algebra of its quadratic…
-slice algebras of -translation algebras and quasi -Fano algebras
Jin Yun Guo, Cong Xiao
In this paper, we show that the -APR tilts of dual -slice algebras of acyclic stable -translation algebras are realized as -mutations. Such dual -slice algebras are…
On -translation algebras
Jin Yun Guo
Motivated by Iyama's higher representation theory, we introduce -translation quivers and -translation algebras. The classical construction of the translation qu…
On McKay Quiver and Covering Spaces
Jin Yun Guo
In this paper, we study the relationship between the McKay quivers of a finite subgroups of special linear groups general linear groups, via some natural extension and embeddin…