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Toplam kayıt 5, listelenen: 1-5
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 ...
Characteristic classes of foliations via SAYD-twisted cocycles
(European Mathematical Society, 2015)
We find the first non trivial “SAYD-twisted” cyclic cocycle over the groupoid action algebra under the symmetry of the affine linear transformations of the Euclidian space. We apply the cocycle to construct a characteristic ...
Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients
(Springer Heidelberg, 2018-12-01)
We discuss a new strategy for the computation of the Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebra Hn. More precisely, we introduce a multiplicative structure on the Hopf-cyclic complex of Hn, and we show ...
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 ...
Topological Hopf algebras and their Hopf-cyclic cohomology
(Taylor and Francis, 2019-01-29)
A natural extension of the Hopf-cyclic cohomology, with coefficients, is introduced to encompass topological Hopf algebras. The topological theory allows to work with infinite dimensional Lie algebras. Furthermore, the ...