The universal R-matrix and factorization of the L-operators related to the Baxter Q-operators

Abstract

We consider the `universal monodrimy operators' for the Baxter Q-operators. They are given as images of the universal R-matrix in oscillator representation. We find related universal factorization formulas in $U_q(\widehat{sl}(2))$ case.

13 pages, v2: minor corrections

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Cited by in corpus (10)

• Baxter Q-operator from quantum K-theory
• Q-operators for the open Heisenberg spin chain
• Asymptotic representations of augmented q-Onsager algebra and boundary K-operators related to Baxter Q-operators
• A note on $q$-oscillator realizations of $U_q(gl(M|N))$ for Baxter $Q$-operators
• Anisotropic Landau-Lifshitz Model in Discrete Space-Time
• From Principal Series to Finite-Dimensional Solutions of the Yang-Baxter Equation
• A Q-operator for open spin chains I: Baxter's TQ relation
• Universal Baxter TQ-relations for open boundary quantum integrable systems
• Quantum groups and functional relations for arbitrary rank
• Matrix factorization for solutions of the Yang-Baxter equation