• Corpus ID: 119579226

Twisted Coxeter elements and folded AR-quivers via Dynkin diagram automorphisms: I

  title={Twisted Coxeter elements and folded AR-quivers via Dynkin diagram automorphisms: I},
  author={Se-jin Oh and Uhi Rinn Suh},
  journal={arXiv: Representation Theory},
  • Se-jin OhU. Suh
  • Published 31 May 2016
  • Mathematics
  • arXiv: Representation Theory
We introduce and study the twisted adapted $r$-cluster point and its combinatorial Auslander-Reiten quivers, called twisted AR-quivers and folded AR-quivers, of type $A_{2n+1}$ which are closely related to twisted Coxeter elements and the non-trivial Dynkin diagram automorphism. As applications of the study, we prove that folded AR-quivers encode crucial information on the representation theory of quantum affine algebra $U_q'(B^{(1)}_{n+1})$ such as Dorey's rule and denominator formulas. 

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