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

Representation Theory 2023-05-16 v1 Combinatorics Rings and Algebras

Abstract

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

Keywords

Cite

@article{arxiv.2305.08726,
  title  = {$q$-Coxeter matrix and $q$-Cartan matrix for a homogeneous bound quiver},
  author = {Shilin Yang},
  journal= {arXiv preprint arXiv:2305.08726},
  year   = {2023}
}

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22 pages