2019
Том 71
№ 11

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

Balinsky A. I.

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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.

English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 9, pp 1069-1072.

Citation Example: Balinsky A. I. On discrete models on one-dimensional lattices with specified Lie algebra of symmetries // Ukr. Mat. Zh. - 1992. - 44, № 9. - pp. 1170–1174.

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