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Special representations of nilpotent Lie groups and the associated Poisson representations of current groups
Current group canonical representation special representation
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2012/4/18
In this paper we describe the new model of the representations of the current groups with a semisimple Lie group of the rank one. In the earlier papers of 70-80-th (Araki, Gelfand-Graev-Vershik) had p...
Asymptotic Stability of Dissipated Hamilton-Poisson Systems
dynamical systems stability theory rigid body
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2011/9/16
Abstract: We will further develop the study of the dissipation for a Hamilton-Poisson system introduced in \cite{2}. We will give a tensorial form of this dissipation and show that it preserves the Ha...
Poisson Yang-Baxter maps with binomial Lax matrices
Poisson Yang-Baxter binomial Lax matrices
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2011/7/7
A construction of multidimensional parametric Yang-Baxter maps is presented. The corresponding Lax matrices are the symplectic leaves of first degree matrix polynomials equipped with the Sklyanin brac...