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On the main theorem of separable hopf Galois theory

Author
Vela, M.; Crespo, T.; Rio, A.
Type of activity
Presentation of work at congresses
Name of edition
28è Journées Arithmétiques
Date of publication
2013
Presentation's date
2013-07-01
Abstract
Chase and Sweedler developed the concept of Hopf Galois extension $K/k$ for a $k$-Hopf algebra $H$. In particular, they proved the main theorem in its general form: the map from the set of sub-Hopf algebras of $H$ to the set of intermediate subfields of $K/k$ taking a sub-Hopf algebra of $H$ to its fixed field is injective and inclusion reversing. If this map is also surjective, we say that the main theorem holds in its strong form. Greither and Pareigis considered the case of separable exte...
Group of research
TN - Number Theory Research Group

Participants