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Jun 1, 2016 at 6:56 comment added Jianrong Li now I understand. The two formulas are the same.
May 17, 2016 at 2:01 comment added Jianrong Li in the paper, Theorem 2.4, the coproduct is defined as $$\Delta_{B \rtimes H} = \Psi_{B, H} \circ (\Delta_B \otimes \Delta_H).$$ This is different from your formula $$ \Delta ( r \# h) = ( r^{(1)} \# r^{(2)}_{(-1)} h_{(1)} ) \otimes ( r^{(2)}_{(0)} \# h_{(2)}). $$ How could we know which coproduct should we use?
May 17, 2016 at 1:19 vote accept Jianrong Li
May 16, 2016 at 18:21 history answered AHusain CC BY-SA 3.0