학술저널
HOPF STRUCTURE FOR POISSON ENVELOPING ALGEBRAS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 13, No. 2
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2000.1229 - 39 (11 pages)
- 0
For a Poisson Hopf algebra A, we ¯nd a natural Hopf structure in the Poisson enveloping algebra U(A) of A. As an application, we show that the Poisson enveloping algebra U(S(L)), where S(L) is the symmetric algebra of a Lie algebra L, has a Hopf structure such that a sub-Hopf algebra of U(S(L)) is Hopf-isomorphic to the universal enveloping algebra of L
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