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Name and properties of this combination of group algebra and semidirect product?

I think that what you are talking about is the skew-group ring $k\rtimes_\phi G$ or the skew-group algebra, in the sense of def. 2.1 of these notes. This is a special case of the skew-group algebra …
Konstantinos Kanakoglou's user avatar
3 votes

About the classification of commutative and of cocommutative, fin. dim. Hopf algebras

The Larson-Radford theorem states that: Let $k$ a field of characteristic zero, and $Η$ a finite dimensional $k$-Hopf algebra, with antipode $S$. The following statements are equivalent: …
Konstantinos Kanakoglou's user avatar
10 votes
3 answers
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About the classification of commutative and of cocommutative, fin. dim. Hopf algebras

I want to prove that the cocommutative finite dimensional Hopf algebras over an algebraically closed field of characteristic zero are group algebras (for some finite group) and that the commutative f. …
Konstantinos Kanakoglou's user avatar