26 citations · 56 across the 13 of their papers we have counts for
16 papers
Conformal and Contact Kinetic Dynamics and Their Geometrization
Oğul Esen, Ayten Gezici, Miroslav Grmela +3
We propose a conformal generalization of the reversible Vlasov equation of kinetic plasma dynamics, called conformal kinetic theory. In order to arrive at this formalism, we start…
Quantum van Est Isomorphism
Atabey Kaygun, Serkan Sütlü
Motivated by the fact that the Hopf-cyclic (co)homologies of function algebras over Lie groups and universal enveloping algebras over Lie algebras capture the Lie group and Lie alg…
Tulczyjew's Triplet for Lie Groups III : Higher Order Dynamics and Reductions for Iterated Bundles
Oğul Esen, Hasan Gümral, Serkan Sütlü
Given a Lie group , we elaborate the dynamics on and , which is given by a Hamiltonian, as well as the dynamics on the Tulczyjew symplectic space , which…
Inertial Hopf-cyclic homology
Tomasz Maszczyk, Serkan Sütlü
We construct, study, and apply a characteristic map from the relative periodic cyclic homology of the quotient map for a group action to the periodic Hopf-cyclic homology with coef…
Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients
B. Rangipour, S. Sütlü, F. Yazdani Aliabadi
We discuss a new strategy for the computation of the Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebra . More precisely, we introduce a multiplicative stru…
Hochschild Cohomology of Reduced Incidence Algebras
Müge Kanuni, Atabey Kaygun, Serkan Sütlü
We compute the Hochschild cohomology of the reduced incidence algebras such as the algebra of formal power series, the algebra of exponential power series, the algebra of Eulerian…
Hamiltonian dynamics on matched pairs
Oğul Esen, Serkan Sütlü
It is shown that the cotangent bundle of a matched pair Lie group is itself a matched pair Lie group. The trivialization of the cotangent bundle of a matched pair Lie group are pre…
Lagrangian Dynamics on Matched Pairs
Oğul Esen, Serkan Sütlü
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-Lagr…
Hopf-dihedral (co)homology and -theory
A. Kaygun, S. Sütlü
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 dihed…
A characteristic map for compact quantum groups
A. Kaygun, S. Sütlü
We show that if is a compact Lie group and is its Lie algebra, then there is a map from the Hopf-cyclic cohomology of the quantum enveloping algebra $U_q(\mathfr…
Topological Hopf algebras and their Hopf-cyclic cohomology
Bahram Rangipour, Serkan Sütlü
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 dime…
Cyclic homology for Hom-associative algebras
Mohammad Hassanzadeh, Ilya Shapiro, Serkan Sütlü
In the present paper we investigate the noncommutative geometry of a class of algebras, called the Hom-associative algebras, whose associativity is twisted by a homomorphism. We de…
Cyclic Homology and Quantum Orbits
Tomasz Maszczyk, Serkan Sütlü
A natural isomorphism between the cyclic object computing the relative cyclic homology of a homogeneous quotient-coalgebra-Galois extension, and the cyclic object computing the cyc…
Hopf-cyclic Cohomology of Quantum Enveloping Algebras
Atabey Kaygun, Serkan Sütlü
In this paper we calculate both the periodic and non-periodic Hopf-cyclic cohomology of Drinfeld-Jimbo quantum enveloping algebra for an arbitrary semi-simple L…
SAYD modules over Lie-Hopf algebras
B. Rangipour, S. Sutlu
In this paper a general van Est type isomorphism is established. The isomorphism is between the Lie algebra cohomology of a bicrossed sum Lie algebra and the Hopf cyclic cohomology…
Cyclic cohomology of Lie algebras
B. Rangipour, S. Sutlu
In this paper we aim to understand the category of stable-Yetter-Drinfeld modules over enveloping algebra of Lie algebras. To do so, we need to define such modules over Lie algebra…