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.
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1If $x$ 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 07 '11 at 16:06
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(Tell me if you want the proof.) – darij grinberg Oct 07 '11 at 16:07
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1Usually, most questions are happy enough with one question mark. – Mariano Suárez-Álvarez Oct 07 '11 at 18:13