Recognizing Cluster Algebras of Finite Type

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 03 Jan 2007Embargo end date: 01 Jun 2004Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 14 (eissn: 1077-8926,

Copyright policy )Funded by:NSF | Polyhedral Combinatorics ...

Authors: Ahmet I. Seven;

doi: 10.37236/922 , 10.48550/arxiv.math/0406545

arXiv: math/0406545

Recognizing Cluster Algebras of Finite Type

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Abstract

We compute the list of all minimal 2-infinite diagrams, which are cluster algebraic analogues of extended Dynkin graphs.

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Keywords

Cluster algebras, Dynkin graphs, Associative rings and algebras arising under various constructions, Mathematics - Rings and Algebras, Combinatorial aspects of groups and algebras, diagrams, Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Combinatorics, 14M99, Combinatorics (math.CO), Simple, semisimple, reductive (super)algebras

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