Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

I'm huge confused!

There is nonzero primitive element in finite dimensional pointed hopf algebra over complex field???

I find in several articles,it is said that a is primitive,so a=0.

I will appreciate if someone can give me some clue.

share|improve this question
1  
If $x$ is a primitive element in a Hopf algebra over a field of characteristic $0$, then $1$, $x$, $x^2$, ... are linearly independent over the field (unless $x=0$), so the Hopf algebra cannot be finitely-dimensional. –  darij grinberg Oct 7 '11 at 16:06
    
(Tell me if you want the proof.) –  darij grinberg Oct 7 '11 at 16:07
1  
Usually, most questions are happy enough with one question mark. –  Mariano Suárez-Alvarez Oct 7 '11 at 18:13
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.