Categorification of Skew-symmetrizable Cluster Algebras
نویسندگان
چکیده
منابع مشابه
Cluster Automorphisms and the Marked Exchange Graphs of Skew-Symmetrizable Cluster Algebras
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...
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Cluster algebras are a class of commutative rings introduced by Fomin and Zelevinsky. It is well-known that these algebras are closely related with different areas of mathematics. A particular analogy exists between combinatorial aspects of cluster algebras and Kac-Moody algebras: roughly speaking, cluster algebras are associated with skew-symmetrizable matrices while Kac-Moody algebras corresp...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2010
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-010-9228-4