Monodromy operators for higher rank

Abstract

We find the explicit form of the basic monodromy operators for the case of the quantum group ${\mathrm{U}}_q(\mathcal{L}({\mathfrak{sl}}_3))$. Expressions for the quantum Casimir elements of the quantum groups ${\mathrm{U}}_q({\mathfrak{gl}}_3)$ and ${\mathrm{U}}_q({\mathfrak{sl}}_3)$ are obtained as a by-product.

23 pages, the text is rewritten substantially

References in corpus (4)

• Baxter's Q-operators for supersymmetric spin chains
• Universal R-matrix and functional relations
• Universal integrability objects
• On the universal R-matrix for the Izergin-Korepin model

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• Quantum affine algebras and universal functional relations