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POISSON BRACKET DETERMINED BY A COBRACKET

Oh, Sei-Qwon;Shin, Yong-Yeon

  • Published : 2007.07.31

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

References

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