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Results tagged with hopf-algebras
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user 15021
A Hopf algebra is a vector space $H$ over a field $k$ endowed with an associative product $\times:H\otimes_k H\to H$ and a coassociative coproduct $\Delta:H\to H\otimes_k H$ which is a morphism of algebras. Unit $1:k\to H$, counit $\epsilon:H\to k$ and antipode $S:H\to H$ are also required. Such a structure exists on the group algebra $k G$ of a finite group $G$.
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Dimension of a Hopf algebra == sum of squares of its simple modules? [closed]
when I read an article,I find it seems there is a conclusion like the followings.
$H$ is an Hopf algebra(or an abstract group).
Then $dimH=\sum_{V:simple ~module ~of ~H}(dimV)^2$.
who can tell me wh …
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There is nonzero primitive element in finite dimensional pointed hopf algebra over C???
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 appre …
- 153
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a simple problems about Yetter-Drinfeld-Module
It's done!
$P(R)=ker(id\otimes u_R+u_R\otimes id-\triangle_R)$
Thanks everybody! Please vote to close.
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Annulator of Tensor Power in a Quantum Group
There is a little question haunted me for few days. I will be grateful to anyone who can give me any clue how to solve it.
Let $V$ be a nontrivial module of $\mathrm{U}_q(\mathfrak{g})$ (the quantu …
- 153
3
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1
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a simple problems about Yetter-Drinfeld-Module
I will be appreciated if anyone can give me some clue for the following simple question,
Let $H$,$A$ are both hopf algebras,$\pi :A \rightarrow H$,$\quad f:H\hookrightarrow A$ are both hopf morphism …
- 153