\(Q\)-operators for higher spin eight vertex models with a rational anisotropy parameter (Q2318013)

The paper is a continuation of the author [Lett. Math. Phys. 106, No. 3, 319--340 (2016; Zbl 1341.82023)], in which the author constructed a \(Q\)-operator of the higher spin generalization of the eight vertex model. In this paper \(Q\)-operators for generalized eight vertex models associated with higher spin representations of the Sklyanin algebra are constructed applying Baxter's first method and Fabricius's method, when the anisotropy parameter is rational.