Geodesic
A Poincaré-Birkhoff-Witt Theorem for Hopf Algebras with Central Hopf Algebra Coradical
Bogdan Ion1, 2
1Dept. of Mathematics, University of Pittsburgh, Pittsburgh, PA15260, U.S.A.
2Algebra and Number Theory Research Center, University of Bucharest, 14 Academiei Street, Bucharest, Romania
Journal of Lie Theory, Tome 22 (2012) no. 1, pp. 291-300

Voir la notice de l'article provenant de la source Heldermann Verlag

We show that over fields of characteristic zero a Hopf algebra with central Hopf algebra coradical has a PBW basis.
Classification : 14L15, 16W30, 16W70
Mots-clés : Hopf algebra, affine algebraic group, PBW basis

Bogdan Ion  1 , 2

1 Dept. of Mathematics, University of Pittsburgh, Pittsburgh, PA15260, U.S.A.
2 Algebra and Number Theory Research Center, University of Bucharest, 14 Academiei Street, Bucharest, Romania 
Bogdan Ion. A Poincaré-Birkhoff-Witt Theorem for Hopf Algebras with Central Hopf Algebra Coradical. Journal of Lie Theory, Tome 22 (2012) no. 1, pp. 291-300. http://geodesic.mathdoc.fr/item/JOLT_2012_22_1_a11/
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     author = {Bogdan Ion},
     title = {A {Poincar\'e-Birkhoff-Witt} {Theorem} for {Hopf} {Algebras} with {Central} {Hopf} {Algebra} {Coradical}},
     journal = {Journal of Lie Theory},
     pages = {291--300},
     year = {2012},
     volume = {22},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2012_22_1_a11/}
}
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