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Hopf-cyclic cohomology of quantum enveloping algebras
In this paper we calculate both the periodic and non-periodic Hopf-cyclic cohomology of Drinfeld–Jimbo quantum enveloping algebra U_q(\mathfrak g) for an arbitrary semi-simple Lie algebra \mathfrak g with coefficients in a modular pair in involution. We obtain this result by showing that the coalgebra Hochschild cohomology of these Hopf algebras …