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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...