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학술저널

LIE BIALGEBRA ARISING FROM POISSON BIALGEBRA U(sp4)

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Let U(sp4) be the universal enveloping algebra of the symplectic Lie algebra sp4. Then the restricted dual U(sp4) becomes a Poisson Hopf algebra with the Sklyanin Poisson bracket determined by the standard classical r-matrix. Here we illustrate a method to obtain the Lie bialgebra from a Poisson bialgebra U(sp4).

1. Introduction

2. Example

References

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