Işık Üniversitesi Kurumsal Akademik Belleği :: DSpace Angular

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Homology of quantum linear groups
(Int Press Boston, 2021-03-24) Kaygun, Atabey; Sütlü, Serkan
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
(European Mathematical Society Publishing House, 2016) Kaygun, Atabey; Sütlü, Serkan Selçuk
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 involution. We obtain this result by showing that the coalgebra Hochschild cohomology of these Hopf algebras are concentrated in a single degree determined by the rank of the Lie algebra g.