Discrete models on one-dimensional net with the preset Lie algebra of symmetries

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 whi...

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Bibliographic Details
Date:1992
Main Authors: Balinsky , A. I., Балінський , А. І.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8165
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal