Quantum Cluster Superalgebras
Haitao Ma, Yanmin Yang, Zhu-Jun Zheng
TL;DR
This paper introduces quantum deformations of cluster superalgebras and proves a quantum Laurent phenomenon, expanding the mathematical framework of superalgebra structures.
Contribution
It presents the first quantum deformation framework for cluster superalgebras and establishes the Laurent phenomenon in this super-case.
Findings
Quantum deformations of cluster superalgebras are constructed.
The quantum Laurent phenomenon is proven for super-cluster algebras.
Abstract
In this paper, we introduce and study the quantum deformations of the cluster superalgebra. Then we prove the quantum version of the Laurent phenomenon for the super-case.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons