Geodesic
Cluster automorphisms and the marked exchange graphs of skew-symmetrizable cluster algebras
John W Lawson1
1Durham University
The electronic journal of combinatorics, Tome 23 (2016) no. 4

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Zbl arXiv
Cluster automorphisms have been shown to have links to the mapping class groups of surfaces, maximal green sequences and to exchange graph automorphisms for skew-symmetric cluster algebras. In this paper we generalise these results to the skew-symmetrizable case by introducing a marking on the exchange graph. Many skew-symmetrizable matrices unfold to skew-symmetric matrices and we consider how cluster automorphisms behave under this unfolding with applications to coverings of orbifolds by surfaces.
DOI : 10.37236/6230
Classification : 13F60, 20F34
Mots-clés : cluster algebra, quiver mutation, cluster automorphism, exchange graph, mapping class group

John W Lawson  1

1 Durham University 
John W Lawson. Cluster automorphisms and the marked exchange graphs of skew-symmetrizable cluster algebras. The electronic journal of combinatorics, Tome 23 (2016) no. 4. doi: 10.37236/6230
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     title = {Cluster automorphisms and the marked exchange graphs of skew-symmetrizable cluster algebras},
     journal = {The electronic journal of combinatorics},
     year = {2016},
     volume = {23},
     number = {4},
     doi = {10.37236/6230},
     zbl = {1375.13035},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/6230/}
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