
Journal of Lie Theory 22 (2012), No. 1, 291300 Copyright Heldermann Verlag 2012 A PoincaréBirkhoffWitt 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 bion@pitt.edu 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 [ Fulltextpdf (246 KB)] for subscribers only. 