Cluster characters for 2-Calabi-Yau Frobenius extriangulated categories
Li Wang, Jiaqun Wei, Haicheng Zhang
TL;DR
This paper introduces cluster characters for 2-Calabi-Yau Frobenius extriangulated categories, unifying existing frameworks in triangulated and Frobenius exact categories to advance the understanding of cluster theory.
Contribution
It defines cluster characters in a new setting, extending the existing theories to 2-Calabi-Yau Frobenius extriangulated categories with cluster tilting objects.
Findings
Unified framework for cluster characters in different categories
Extension of cluster theory to Frobenius extriangulated categories
Bridging triangulated and Frobenius categories in cluster algebra studies
Abstract
We define the cluster characters for 2-Calabi-Yau Frobenius extriangulated categories with cluster tilting objects. This provides a unified framework of cluster characters in 2-Calabi-Yau triangulated categories and 2-Calabi-Yau Frobenius exact categories given by Palu and Fu-Keller, respectively
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology