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

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

2008-12-11

arxiv.org/abs/0812.2240v2

Mathematics

Representation Theory

20 pages,minor changes, grammatical corrections and layout

Scientific paper

We show that the number of quivers in the mutation class of a quiver of
Dynkin type $D_n$ is given by $\sum_{d|n} \phi(n/d)\binom{2d}{d}/(2n)$ for $n
\geq 5$. To obtain this formula, we give a correspondence between the quivers
in the mutation class and certain rooted trees.

Affiliated with

Also associated with

No associations

Rating

The number of elements in the mutation class of a quiver of type $D_n$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The number of elements in the mutation class of a quiver of type $D_n$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The number of elements in the mutation class of a quiver of type $D_n$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-609093