26 citations · 56 across the 13 of their papers we have counts for
5 papers · 1 filter
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…