Journal of Lie Theory

no. 1
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, Volume 22 (2012) no. 1, pp. 291-300
We show that over fields of characteristic zero a Hopf algebra with central Hopf algebra coradical has a PBW basis.
DOI: 10.5802/jolt.670
Classification: 14L15, 16W30, 16W70
Keywords: 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, Volume 22 (2012) no. 1, pp. 291-300. doi: 10.5802/jolt.670
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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},
     doi = {10.5802/jolt.670},
     zbl = {1247.16024},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.670/}
}
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