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13 votes
1 answer
284 views

Finiteness of the number of Hopf subalgebras

Let $H$ be a finite-dimensional Hopf algebra over the complex field. Question: Does $ H $ have a finite number of Hopf subalgebras? In the case where $ H $ is semisimple, the answer is yes. According ...
Sebastien Palcoux's user avatar
2 votes
1 answer
96 views

Are braided commutators primitive elements of a braided Hopf algebra?

Let $H$ be a braided Hopf algebra. The multiplication on $H \otimes H$ is defined by $(a \otimes b)(c \otimes d) = a \Psi(b \otimes c) d$, $a,b,c,d \in H$. Let $H = T(V)$. There is a algebra map $\...
Jianrong Li's user avatar
  • 6,201
1 vote
0 answers
88 views

Reference request: Nichols algebras of a braided vector space with a diagonal braiding

Are there some references of the proof of the following result? Let $(V, c)$ be a braided vector space over a field $k$ with a basis $x_1, \ldots, x_n$, where $c$ is a diagonal braiding given by \...
Jianrong Li's user avatar
  • 6,201