Coloured quivers of type A and the cell-growth problem

Hermund André Torkildsen

Coloured quivers of type A and the cell-growth problem

Representation Theory 2010-04-27 v1 Combinatorics

Authors: Hermund André Torkildsen

Abstract

We use a geometric description of $m$ -cluster categories of Dynkin type $A$ to count the the number of coloured quivers in the $m$ -mutation class of quivers of Dynkin type $A$ . This is related to angulations of polygons and the cell-growth problem.

Keywords

coloured quivers Dynkin type A m-cluster categories m-mutation angulations of polygons cell-growth problem

Cite

@article{arxiv.1004.4512,
  title  = {Coloured quivers of type A and the cell-growth problem},
  author = {Hermund André Torkildsen},
  journal= {arXiv preprint arXiv:1004.4512},
  year   = {2010}
}

Comments

17 pages, 12 figures

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