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http://dx.doi.org/10.4134/CKMS.2007.22.3.353

POISSON BRACKET DETERMINED BY A COBRACKET  

Oh, Sei-Qwon (DEPARTMENT OF MATHEMATICS CHUNGNAM NATIONAL UNIVERSITY)
Shin, Yong-Yeon (DEPARTMENT OF MATHEMATICS CHUNGNAM NATIONAL UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.22, no.3, 2007 , pp. 353-357 More about this Journal
Abstract
Let $(g,\;\delta)$ be a Lie bialgebra. Here we give an explicit formula for the Poisson bracket on a subalgebra of $U(g)^{\circ}$ induced by the given cobracket $\delta$.
Keywords
Lie bialgebra; Poisson bialgebra;
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