Segre products of cluster algebras
Jan E. Grabowski, Lauren Hindmarch
TL;DR
This paper demonstrates that the Segre product of two graded cluster algebras can be endowed with a natural cluster algebra structure under mild conditions, expanding the understanding of algebraic constructions within cluster theory.
Contribution
The paper introduces a framework for the Segre product of graded cluster algebras to inherit a cluster algebra structure, a novel extension in the field.
Findings
Segre product of graded cluster algebras admits a cluster structure
Under mild assumptions, the construction is natural and consistent
Expands the algebraic toolkit for cluster algebra operations
Abstract
We show that under mild assumptions the Segre product of two graded cluster algebras has a natural cluster algebra structure.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Logic · Rings, Modules, and Algebras