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math.RT2025
Intersection vectors over skew-tilings
Difan Deng, Shengfei Geng, Pin Liu
We prove that under a mild condition, a multiset of tagged permissible arcs over a skew-tiling is uniquely determined by its intersection vector. As an application, it is proved th…
math.RT2025
Functor-induced isomorphisms and -matrices
Shengfei Geng
In this paper, we explore how functor-induced isomorphisms are encoded by -matrices. We first show that the Grothendieck group isomorphism induced by a tilting module can be rea…