Integrability and Fusion Algebra for Quantum Mappings
High Energy Physics - Theory
2009-10-22 v1
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.
Cite
@article{arxiv.hep-th/9301007,
title = {Integrability and Fusion Algebra for Quantum Mappings},
author = {F. W. Nijhoff and H. W. Capel},
journal= {arXiv preprint arXiv:hep-th/9301007},
year = {2009}
}
Comments
26 pages