Yazar "Kaygun, Atabey" için listeleme
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A characteristic map for compact quantum groups
Kaygun, Atabey; Sütlü, Serkan Selçuk (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 ... -
Hochschild cohomology of reduced incidence algebras
Sütlü, Serkan Selçuk; Kaygun, Atabey; Kanuni Er, Müge (World Scientific Publishing Co Pte Ltd, 2016-10-19)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 ... -
Homology of quantum linear groups
Kaygun, Atabey; Sütlü, Serkan (Int Press Boston, 2021-03-24)For every n >= 1, we calculate the Hochschild homology of the quantum monoids M-q(n), and the quantum groups GL(q)(n) and SLq(n) with coefficients in a 1-dimensional module coming from a modular pair in involution. -
Hopf-cyclic cohomology of quantum enveloping algebras
Kaygun, Atabey; Sütlü, Serkan Selçuk (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 Selçuk (European Mathematical Soc, 2018-03-23)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 ... -
On the Hochschild homology of smash biproducts
Kaygun, Atabey; Sütlü, Serkan Selçuk (Elsevier B.V., 2021-02)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 ...