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arXiv · hep-th/9301007

Integrability and Fusion Algebra for Quantum Mappings

F. W. Nijhoff·H. W. Capel
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Abstract

We apply the fusion procedure to a quantum Yang-Baxter algebra associated with time-discrete integrable systems, notably integrable quantum mappings. We present a general construction of higher-order quantum invariants for these systems. As an important class of examples, we present the Yang-Baxter structure of the Gel'fand-Dikii mapping hierarchy, that we have introduced in previous papers, together with the corresponding explicit commuting family of quantum invariants.

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F. W. Nijhoff, H. W. Capel. 1993-01-04. Integrability and Fusion Algebra for Quantum Mappings. https://doi.org/10.1088/0305-4470%2F26%2F22%2F035

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