The number of elements in the mutation class of a quiver of type $D_n$

dc.creatorBuan, Aslak Bakke
dc.creatorTorkildsen, Hermund André
dc.date2008-12-11
dc.date2009-04-14
dc.date.accessioned2026-07-07T13:03:10Z
dc.date.available2026-07-07T13:03:10Z
dc.descriptionWe show that the number of quivers in the mutation class of a quiver of Dynkin type $D_n$ is given by $\sum_{d|n} ϕ(n/d)\binom{2d}{d}/(2n)$ for $n \geq 5$. To obtain this formula, we give a correspondence between the quivers in the mutation class and certain rooted trees.
dc.description20 pages,minor changes, grammatical corrections and layout
dc.identifierhttps://arxiv.org/abs/0812.2240
dc.identifierhttp://arxiv.org/abs/0812.2240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226700
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.titleThe number of elements in the mutation class of a quiver of type $D_n$
dc.typetext

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