Integrability and Fusion Algebra for Quantum Mappings

Details Integrability and Fusion Algebra for Quantum Mappings Integrability and Fusion Algebra for Quantum Mappings

1993-01-04

arxiv.org/abs/hep-th/9301007v1

Physics

High Energy Physics

High Energy Physics - Theory

26 pages

Scientific paper

10.1088/0305-4470/26/22/035

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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