Coloured quivers of type A and the cell-growth problem

Details Coloured quivers of type A and the cell-growth problem Coloured quivers of type A and the cell-growth problem

2010-04-26

arxiv.org/abs/1004.4512v1

Mathematics

Representation Theory

17 pages, 12 figures

Scientific paper

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.

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