학술저널
POISSON HOPF STRUCTURE INDUCED BY THE UNIVERSAL ENVELOPING ALGEBRA OF A GRADED LIE ALGEBRA
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 23, No. 1
-
2010.03177 - 184 (8 pages)
- 2
Let G be an abelian group, an antisymmetric bicharacter on G and g a (G, )-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, )-Poisson Hopf algebra.
1. Introduction
2. Universal enveloping algebras of graded Lie algebras
References
(0)
(0)