Hopf Galois Extension in Braided Tensor Categories
نویسندگان
چکیده
The relation between crossed product and H-Galois extension in braided tensor categories is established. It is shown that A = B#σH is a crossed product algebra if and only if the extension A/B is Galois, the inverse can of the canonical morphism can factors through object A⊗B A and A is isomorphic as left B-modules and right H-comodules to B⊗H in braided tensor categories. For the Yetter-Drinfeld modules category Q QYD, the condition that can −1 factors can be thrown off.
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