• Title/Summary/Keyword: graded Poisson Hopf algebra

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

  • Oh, Sei-Qwon;Park, Miran
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.1
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    • pp.177-184
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    • 2010

  • 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.

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