Computing Upper Cluster Algebras

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 09 Mar 2014Embargo end date: 01 Jan 2013 English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices (issn: 1073-7928, eissn: 1687-0247,

Copyright policy )Funded by:NSF | Louisiana State Universit...

Authors: Matherne, Jacob P.; Muller, Greg;

doi: 10.1093/imrn/rnu027 , 10.48550/arxiv.1307.0579

arXiv: 1307.0579

Computing Upper Cluster Algebras

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Abstract

This paper develops techniques for producing presentations of upper cluster algebras. These techniques are suited to computer implementation, and will always succeed when the upper cluster algebra is totally coprime and finitely generated. We include several examples of presentations produced by these methods.

19 pages, 4 examples

Related Organizations

Louisiana State University
United States
LOUISIANA STATE UNIVERSITY AND AGRICULTURAL AND MECHANICAL COLLEGE
United States

Keywords

Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Rings and Algebras, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 13F60

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