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--- blog:2024-07-21 [2024/07/22 06:13] – pzhou
+++ blog:2024-07-21 [2024/07/22 06:32] (current) – pzhou
@@ Line 7: / Line 7: @@
 A Hopf algebra is just an algebra with $(\Delta, \epsilon, S)$, coproduct, counit and antipode satisfying a bunch of axioms.
-$\epsilon$ and $S$ are determined by $\Delta$. For the algebra of function $O(G)$, the coproduct is interesting. It determines $\epsilon$ to be the restriction to $e$. But then, given a function
+$\epsilon$ and $S$ are determined by $\Delta$. For the algebra of function $O(G)$, the coproduct is interesting. It determines $\epsilon$ to be the restriction to $e$. But then, given a function $f$, we pullback, and restrict to the anti-diagonal. fine, that gives the fiber of the $f(e)$ spread along $G$.
+All these seems very natural. Now we deform to $U_q(sl_2)$.