Browsing by Author "Sütlü, Serkan Selçuk"
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Characteristic classes of foliations via SAYDtwisted cocycles
Rangipour, Bahram; Sütlü, Serkan Selçuk (European Mathematical Society, 2015)We find the first non trivial “SAYDtwisted” 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 Selçuk (Springer Heidelberg, 201709)We show that if G is a compact Lie group and g is its Lie algebra, then there is a map from the Hopfcyclic cohomology of the quantum enveloping algebra Uq(g) to the twisted cyclic cohomology of quantum group algebra ... 
Hamiltonian dynamics on matched pairs
Sütlü, Serkan; Esen, Oğul (World Scientific Publishing Co, 20161101)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 Selçuk; Kaygun, Atabey; Kanuni Er, Müge (World Scientific Publishing Co Pte Ltd, 20161019)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 ... 
HomLieHopf algebras
Sütlü, Serkan Selçuk; Halıcı, Serpil; Karataş, Adnan (Academic Press Inc., 20200701)We studied both the double cross product and the bicrossproduct constructions for the HomHopf algebras of general (α,β)type. This allows us to consider the universal enveloping HomHopf algebras of HomLie algebras, which ... 
Hopfcyclic cohomology of quantum enveloping algebras
Kaygun, Atabey; Sütlü, Serkan Selçuk (European Mathematical Society Publishing House, 2016)In this paperwe calculate both the periodic and nonperiodic Hopfcyclic cohomology of DrinfeldJimbo quantum enveloping algebra Uq.g/ for an arbitrary semisimple Lie algebra g with coefficients in a modular pair in ... 
Hopfcyclic cohomology of the ConnesMoscovici Hopf algebras with infinite dimensional coefficients
Rangipour, Bahram; Sütlü, Serkan Selçuk; Aliabadi, F. Yazdani (Springer Heidelberg, 20181201)We discuss a new strategy for the computation of the Hopfcyclic cohomology of the ConnesMoscovici Hopf algebra Hn. More precisely, we introduce a multiplicative structure on the Hopfcyclic complex of Hn, and we show ... 
Hopfdihedral (co)homology and Ltheory
Kaygun, Atabey; Sütlü, Serkan Selçuk (European Mathematical Soc, 20180323)We develop an appropriate dihedral extension of the ConnesMoscovici characteristic map for Hopf *algebras. We then observe that one can use this extension together with the dihedral Chern character to detect nontrivial ... 
Lagrangian dynamics on matched pairs
Sütlü, Serkan Selçuk; Esen, Oǧul (Elsevier Science BV, 201701)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 ... 
Matched pairs of minvertible hopf quasigroups
Hassanzadeh, Mohammad; Sütlü, Serkan Selçuk (Institute of Mathematics, Academy of Sciences Moldova, 2020)The matched pair theory (of groups) is studied for a class of quasigroups; namely, the minverse property loops. The theory is upgraded to the Hopf level, and the minvertible Hopf quasigroups are introduced. 
On the Hochschild homology of smash biproducts
Kaygun, Atabey; Sütlü, Serkan Selçuk (Elsevier B.V., 20200715)We develop a new spectral sequence in order to calculate the Hochschild homology of smash biproducts (also called the twisted tensor products) of unital associative algebras A#B provided one of A or B has Hochschild dimension ... 
Second order Lagrangian dynamics on double cross product groups
Oğul, Esen; Kudeyt, Mahmut; Sütlü, Serkan Selçuk (Elsevier B.V., 202102)We observe that the iterated tangent group of a Lie group may be realized as a double cross product of the 2nd order tangent group, with the Lie algebra of the base Lie group. Based on this observation, we derive the 2nd ... 
Topological Hopf algebras and their Hopfcyclic cohomology
Rangipour, Bahram; Sütlü, Serkan Selçuk (Taylor and Francis, 20190129)A natural extension of the Hopfcyclic cohomology, with coefficients, is introduced to encompass topological Hopf algebras. The topological theory allows to work with infinite dimensional Lie algebras. Furthermore, the ...