4 papers
Quivers with quantum Yang-Baxter equation and Hecke condition: Deformation of face algebras
Cody Gilbert, Ashish K. Srivastava
In this paper, we initiate the study of quivers carrying quantum Yang--Baxter and Hecke structure. Calling a quiver to be a solution of the QYBE when the adjacency matrix of it…
Matrix Formulae and Skein Relations for Quasi-Cluster Algebras
Cody Gilbert, McCleary Philbin, Kayla Wright
In this paper, we give matrix formulae for non-orientable surfaces that provide the Laurent expansion for quasi-cluster variables, generalizing the orientable surface matrix formul…
Total stability and Auslander-Reiten theory for Dynkin quivers
Yariana Diaz, Cody Gilbert, Ryan Kinser
This paper concerns stability functions for Dynkin quivers, in the generality introduced by Rudakov. We show that relatively few inequalities need to be satisfied for a stability f…
Moduli of Representations of Skewed-Gentle Algebras
Cody Gilbert
We prove irreducible components of moduli spaces of semistable representations of skewed-gentle algebras, and more generally, clannish algebras, are isomorphic to products of proje…