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On the anti-Yetter-Drinfeld module-contramodule correspondence. (arXiv:1704.06552v1 [math.KT])
来源于:arXiv
We study a functor from anti-Yetter Drinfeld modules to contramodules in the
case of a Hopf algebra $H$. Some byproducts of this investigation are the
establishment of sufficient conditions for this functor to be an equivalence,
verification that the center of the opposite category of $H$-comodules is
equivalent to anti-Yetter Drinfeld modules, and the observation of two types of
periodicities of the generalized Yetter-Drinfeld modules introduced previously.
Finally, we give an example of a symmetric $2$-contratrace on $H$-comodules
that does not arise from an anti-Yetter Drinfeld module. 查看全文>>