How to remember the definition of Quantum Groups

It is essentially Majid'e method (so-called Double bosonization) but handier. But everything is defined to be found rather than be discovered (it is discovered, but to make it looks natural to be found is a part of voluntary work of mathematicians). 

(the following from Jantzen, one of the best book for Quantum groups)

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来源： https://www.cnblogs.com/XiongRuiMath/p/14199811.html