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On discrete models on one-dimensional lattices with specified Lie algebra of symmetries

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Ukrainian Mathematical Journal Aims and scope

Abstract

Poisson realizations of the classical YBZF-algebras are constructed from special examples using the simplest rational solution of the classical Yang-Baxter equation, the Poisson realization of a Lie algebra, the moment mapping, and a generalization of L-operators. Sufficient conditions under which additional constraints on the image of the moment mapping are satisfied are established.

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Authors and Affiliations

  1. Institute of Applied Problems of Mathematics and Mechanics, Academy of Sciences of Ukraine, Lvov

    A. I. Balins'kyy

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  1. A. I. Balins'kyy
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Translated from Ukrayin'kyy Matematychnyy Zhurnal, Vol. 44, No. 9, pp. 1170–1174, September, 1992.

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Balins'kyy, A.I. On discrete models on one-dimensional lattices with specified Lie algebra of symmetries. Ukr Math J 44, 1069–1072 (1992). https://doi.org/10.1007/BF01058365

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  • DOI: https://doi.org/10.1007/BF01058365

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