3 sonuçlar
Arama Sonuçları
Listeleniyor 1 - 3 / 3
Yayın A characteristic map for compact quantum groups(Springer Heidelberg, 2017-09) Kaygun, Atabey; Sütlü, Serkan SelçukWe 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 O(G(q)). We also show that the Schmudgen-Wagner index cocycle associated with the volume form of the differential calculus on the standard Podles sphere O(S-q(2)) is in the image of this map.Yayın Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients(Springer Heidelberg, 2018-12-01) Rangipour, Bahram; Sütlü, Serkan Selçuk; Aliabadi, F. YazdaniWe 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 that the van Est type characteristic homomorphism from the Hopf-cyclic complex of Hn to the Gelfand-Fuks cohomology of the Lie algebra Wn of formal vector fields on Rn respects this multiplicative structure. We then illustrate the machinery for n = 1.Yayın Hochschild cohomology of reduced incidence algebras(World Scientific Publishing Co Pte Ltd, 2016-10-19) Kanuni Er, Müge; Kaygun, Atabey; Sütlü, Serkan SelçukWe compute the continuous Hochschild cohomology of four reduced incidence algebras: the algebra of formal power series, the algebra of exponential power series, the algebra of Eulerian power series, and the algebra of formal Dirichlet series. We achieve the result by carrying out the computation for the coalgebra Cotor-groups of their pre-dual coalgebras.
