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Journal of Lie Theory 22 (2012), No. 1, 291--300
Copyright Heldermann Verlag 2012

A Poincaré-Birkhoff-Witt Theorem for Hopf Algebras with Central Hopf Algebra Coradical

Bogdan Ion
Dept. of Mathematics, University of Pittsburgh, Pittsburgh, PA15260, U.S.A.
and: Algebra and Number Theory Research Center, University of Bucharest, 14 Academiei Street, Bucharest, Romania

We show that over fields of characteristic zero a Hopf algebra with central Hopf algebra coradical has a PBW basis.

Keywords: Hopf algebra, affine algebraic group, PBW basis.

MSC: 14L15, 16W30, 16W70

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