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
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
Keywords: Hopf algebra, affine algebraic group, PBW basis
@article{JOLT_2012_22_1_a11,
author = {B. 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/}
}
B. 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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