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Results tagged with hopf-algebras
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user 9612
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 $G$.
1
vote
A Triangular (Non trivial) quasi-Hopf algebra
You can see the following papers:
S. Majid, "Quantum Double for Quasi-Hopf Algebras",Letters in math. phys., 45, Number 1 , pages 1-9 (1998).
C. A. S. Young, R. Zegers. Triangular quasi-Hopf algebra …
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1
vote
pointed Hopf algebra
Acording to Drinfeld V. G., Quantum groups, Proc. of the ICM, Berkeley (1987), 798-820,
you can think of a quantum group as an object in the dual category of Hopf algebras.
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