On an analog of Lagrange’s theorem for commutative Hopf algebras
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- by David E. Radford PDF
- Proc. Amer. Math. Soc. 79 (1980), 164-166 Request permission
Abstract:
We show that the Hopf algebra A over any field k representing the affine group scheme ${\text {SL}}(2,)$ is not a free B-module for some sub-Hopf algebra B of A. In particular k can be algebraically closed, or of characteristic 0 in which case A is also cosemisimple.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 164-166
- MSC: Primary 16A24; Secondary 14L17
- DOI: https://doi.org/10.1090/S0002-9939-1980-0565330-9
- MathSciNet review: 565330