LIE BIALGEBRA ARISING FROM POISSON BIALGEBRA U (sp4)◦

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Published: Feb 15, 2008
DOI: https://doi.org/10.14403/jcms.2008.21.1.57
Keywords:
Lie bialgebra, Poisson bialgebra

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sei-qwon oh
Department of Mathematics, Chungnam National University
sun-hwa hyun
Department of Mathematics, Chungnam National University

Abstract





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)◦.





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Article Details

Issue
Vol. 21 No. 1 (2008)
Section
Articles