Counting the number of elements in the mutation classes of \(A_n\)-quivers
The electronic journal of combinatorics, Tome 18 (2011) no. 1
In this article we prove explicit formulae for the number of non-isomorphic cluster-tilted algebras of type $\tilde A_n$ in the derived equivalence classes. In particular, we obtain the number of elements in the mutation classes of quivers of type $\tilde A_n$. As a by-product, this provides an alternative proof for the number of quivers mutation equivalent to a quiver of Dynkin type $D_n$ which was first determined by Buan and Torkildsen.
@article{10_37236_585,
author = {Janine Bastian and Thomas Prellberg and Martin Rubey and Christian Stump},
title = {Counting the number of elements in the mutation classes of {\(A_n\)-quivers}},
journal = {The electronic journal of combinatorics},
year = {2011},
volume = {18},
number = {1},
doi = {10.37236/585},
zbl = {1217.05022},
url = {http://geodesic.mathdoc.fr/articles/10.37236/585/}
}
TY - JOUR AU - Janine Bastian AU - Thomas Prellberg AU - Martin Rubey AU - Christian Stump TI - Counting the number of elements in the mutation classes of \(A_n\)-quivers JO - The electronic journal of combinatorics PY - 2011 VL - 18 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.37236/585/ DO - 10.37236/585 ID - 10_37236_585 ER -
%0 Journal Article %A Janine Bastian %A Thomas Prellberg %A Martin Rubey %A Christian Stump %T Counting the number of elements in the mutation classes of \(A_n\)-quivers %J The electronic journal of combinatorics %D 2011 %V 18 %N 1 %U http://geodesic.mathdoc.fr/articles/10.37236/585/ %R 10.37236/585 %F 10_37236_585
Janine Bastian; Thomas Prellberg; Martin Rubey; Christian Stump. Counting the number of elements in the mutation classes of \(A_n\)-quivers. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/585
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