TL;DR
This paper calculates the Frobenius dimension for all finite type cluster tilted algebras and identifies conditions under which these algebras possess non-trivial open Frobenius structures.
Contribution
It provides a comprehensive computation of Frobenius dimensions and characterizes when cluster tilted algebras have non-trivial open Frobenius structures.
Findings
Frobenius dimension computed for all finite type cluster tilted algebras
Conditions established for non-trivial open Frobenius structures
Enhanced understanding of algebraic structures in cluster theory
Abstract
In this paper, we compute the Frobenius dimension of any cluster tilted algebra of finite type. Moreover, we give conditions on the bounded quiver of a cluster tilted algebra such that has non-trivial open Frobenius structures.
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