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Hopf-cyclic cohomology of quantum enveloping algebras
(European Mathematical Society Publishing House, 2016)
In this paperwe calculate both the periodic and non-periodic Hopf-cyclic cohomology of Drinfeld-Jimbo quantum enveloping algebra Uq.g/ for an arbitrary semi-simple Lie algebra g with coefficients in a modular pair in ...
A characteristic map for compact quantum groups
(Springer Heidelberg, 2017-09)
We show that if G is a compact Lie group and g is its Lie algebra, then there is a map from the Hopf-cyclic cohomology of the quantum enveloping algebra U-q(g) to the twisted cyclic cohomology of quantum group algebra ...