blog:2024-07-21
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| blog:2024-07-21 [2024/07/22 03:51] – created pzhou | blog:2024-07-21 [2024/07/22 06:32] (current) – pzhou | ||
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| A Hopf algebra is just an algebra with $(\Delta, \epsilon, S)$, coproduct, counit and antipode satisfying a bunch of axioms. | 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 $\Delta$ | + | $\epsilon$ 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 $G$. |
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| + | All these seems very natural. Now we deform to $U_q(sl_2)$. | ||
blog/2024-07-21.1721620297.txt.gz · Last modified: 2024/07/22 03:51 by pzhou