Hopf-cyclic cohomology of quantum enveloping algebras
Atabey Kaygun
Istanbul Technical University, TurkeySerkan Sütlü
Işık University, Istanbul, Turkey
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Abstract
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 Lie algebra 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 .
Cite this article
Atabey Kaygun, Serkan Sütlü, Hopf-cyclic cohomology of quantum enveloping algebras. J. Noncommut. Geom. 10 (2016), no. 2, pp. 429–446
DOI 10.4171/JNCG/238