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Sep 21, 2013 at 14:44 comment added Nicola Ciccoli If you want that the resulting structure is a Hopf algebra you should require more on the action. I guess you want your algebra acted upon by a Hopf algebra to be a comodule algebra or something of the kind...
Sep 21, 2013 at 5:50 comment added Zhaoting Wei Thank you very much! I think that's what I'm looking for. By the way, is there any difference between the cross product as Hopf algebras (and then forget the comultiplication) and the cross product as associative algebras?
Sep 21, 2013 at 5:48 vote accept Zhaoting Wei
Sep 20, 2013 at 9:55 history edited Nicola Ciccoli CC BY-SA 3.0
added 55 characters in body
Sep 20, 2013 at 9:46 history answered Nicola Ciccoli CC BY-SA 3.0