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Classical integrable lattice models through quantum group related formalism

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Abstract

We effectively translate our earlier quantum constructions to the classical language and, using Yang-Baxterisation of the Faddeev-Reshetikhin-Takhtajan algebra, are able to construct the Lax operators and associated τ-matrices of classical integrable models. Thus, new as well as known lattice systems of different classes are generated, including new types of collective integrable models and canonical models with nonstandard τ matrices.

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Authors
  1. A. Kundu
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Additional information

Fachbereich 17-Mathematik/Informatik, GH-Universitän Kassel, Holländische Str. 36, 34109 Kassel, Germany. (Permanent address: Saha Institute of Nuclear Physics, AF/1 Bidhan Nagar, Calcutta 700 064, India.) Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 99, No. 3, pp. 428–434, June, 1994.

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Kundu, A. Classical integrable lattice models through quantum group related formalism. Theor Math Phys 99, 699–704 (1994). https://doi.org/10.1007/BF01017055

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