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28 March 2024
 
  » arxiv » math.QA/0403207

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Trigonometric dynamical r-matrices over Poisson Lie base
A. Mudrov ;
Date 12 Mar 2004
Subject Quantum Algebra | math.QA
AbstractLet $g$ be a finite dimensional complex Lie algebra and $lsubset g$ a Lie subalgebra equipped with the structure of a factorizable quasitriangular Lie bialgebra. Consider the Lie group $Exp l$ with the Semenov-Tjan-Shansky Poisson bracket as a Poisson Lie manifold for the double Lie bialgebra $Dl$. Let $Nc_l(0)subset l$ be an open domain parameterizing a neighborhood of the identity in $Exp l$ by the exponential map. We present dynamical $r$-matrices with values in $gwedge g$ over the Poisson Lie base manifold $Nc_l(0)$.
Source arXiv, math.QA/0403207
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