[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2010.47.4.705

LIE BIALGEBRAS ARISING FROM POISSON BIALGEBRAS

Oh, Sei-Qwon (DEPARTMENT OF MATHEMATICS CHUNGNAM NATIONAL UNIVERSITY)
Cho, Eun-Hee (DEPARTMENT OF MATHEMATICS CHUNGNAM NATIONAL UNIVERSITY)

Publication Information

Journal of the Korean Mathematical Society / v.47, no.4, 2010 , pp. 705-718 More about this Journal

Abstract

It gives a method to obtain a natural Lie bialgebra from a Poisson bialgebra by an algebraic point of view. Let g be a coboundary Lie bialgebra associated to a Poission Lie group G. As an application, we obtain a Lie bialgebra from a sub-Poisson bialgebra of the restricted dual of the universal enveloping algebra U(g).

Keywords

Lie bialgebra; Poisson bialgebra;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

Reference

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