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$q$-Coxeter matrix and $q$-Cartan matrix for a homogeneous bound quiver

Shilin Yang

arXiv (Cornell University)（2023）

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Abstract
The aim of this paper is to introduce the concept of $q$-Coxeter transformation and $q$-Coxeter matrix for a connected acyclic bound quiver $(Q, I)$ with a homogeneous relations $I$, then to establish the relationship between $q$-Coxeter matrix and $q$-Cartan matrix of $(Q, I)$.
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