Cluster algebras and semipositive symmetrizable matrices
Ahmet Seven
TL;DR
This paper explores the structure of skew-symmetrizable matrices and their mutation classes, linking them to generalized Cartan matrices of affine type, thereby advancing understanding in cluster algebra theory.
Contribution
It provides a classification of skew-symmetrizable matrices and their mutation classes based on affine type generalized Cartan matrices, a novel connection in cluster algebra research.
Findings
Classification of skew-symmetrizable matrices
Connection to affine type generalized Cartan matrices
Description of mutation classes
Abstract
In this paper, we give a description of the skew-symmetrizable matrices and their mutation classes which are determined by the generalized Cartan matrices of affine type.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons