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POISSON HOPF STRUCTURE INDUCED BY THE UNIVERSAL ENVELOPING ALGEBRA OF A GRADED LIE ALGEBRA

Oh, Sei-Qwon (Department of Mathematics Chungnam National University)
Park, Miran (Department of Mathematics Chungnam National University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.23, no.1, 2010 , pp. 177-184 More about this Journal

Abstract

Let G be an abelian group, $\alpha$ an antisymmetric bicharacter on G and g a (G, $\alpha$ )-Lie algebra. Here we give a complete proof for that the associated graded algebra determined by a natural filtration in the universal enveloping algebra U(g) is a (G, $\alpha$ )-Poisson Hopf algebra.

Keywords

graded Lie algebra; graded Poisson Hopf algebra;

Citations & Related Records

Reference

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3	Sei-Qwon Oh, Graded Lie bialgebras, submitted (2009).