# POISSON BRACKET DETERMINED BY A COBRACKET

• Oh, Sei-Qwon (DEPARTMENT OF MATHEMATICS CHUNGNAM NATIONAL UNIVERSITY) ;
• Shin, Yong-Yeon (DEPARTMENT OF MATHEMATICS CHUNGNAM NATIONAL UNIVERSITY)
• Published : 2007.07.31
• 77 4

#### 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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