Browsing by Author "Sütlü, Serkan"
Now showing items 1-7 of 7
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Characteristic classes of foliations via SAYD-twisted cocycles
Rangipour, Bahram; Sütlü, Serkan (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 ... -
A characteristic map for compact quantum groups
Kaygun, Atabey; Sütlü, Serkan (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 ... -
Hamiltonian dynamics on matched pairs
Sütlü, Serkan; Esen, Oğul (World Scientific Publishing Co., 2016-11)The cotangent bundle of a matched pair Lie group, and its trivialization, are shown to be a matched pair Lie group. The explicit matched pair decomposition on the trivialized bundle is presented. On the trivialized space, ... -
Hochschild cohomology of reduced incidence algebras
Sütlü, Serkan; Kaygun, Atabey; Kanuni Er, Müge (World Scientific Publishing Co. Pte Ltd., 2017-09)We 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 ... -
Hopf-cyclic cohomology of quantum enveloping algebras
Kaygun, Atabey; Sütlü, Serkan (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 ... -
Hopf-dihedral (co)homology and L-theory
Kaygun, Atabey; Sütlü, Serkan (European Mathematical Soc, 2018)We develop an appropriate dihedral extension of the Connes-Moscovici characteristic map for Hopf *-algebras. We then observe that one can use this extension together with the dihedral Chern character to detect non-trivial ... -
Lagrangian dynamics on matched pairs
Sütlü, Serkan; Esen, Oǧul (Elsevier B.V., 2017-01)Given a matched pair of Lie groups, we show that the tangent bundle of the matched pair group is isomorphic to the matched pair of the tangent groups. We thus obtain the Euler–Lagrange equations on the trivialized matched ...
