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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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Exceptional Quantum Groups as FRT-Algebras

I think a good reference is this paper by Jin-Ma. R-matrices for E7 and F4 are computed while references are given for E6 and G2. I am not aware if E8 has been taken care of.
Chun-Ju Lai's user avatar