3 papers
math.QA2026
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…
math.RT2026
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…
math.CO2026
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…