Cluster algebras of finite mutation type with coefficients
Anna Felikson, Pavel Tumarkin
TL;DR
This paper classifies all finite mutation type cluster algebras with arbitrary coefficients of geometric type, providing a comprehensive understanding of their structure and properties.
Contribution
It offers a complete classification of mutation-finite cluster algebras with coefficients, extending previous results to include arbitrary coefficients of geometric type.
Findings
Complete classification of mutation-finite cluster algebras with coefficients
Identification of all such algebras of geometric type
Extension of known classifications to include arbitrary coefficients
Abstract
We classify mutation-finite cluster algebras with arbitrary coefficients of geometric type.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Logic