Hopf-cyclic cohomology of quantum enveloping algebras

  • Atabey Kaygun

    Istanbul Technical University, Turkey
  • Serkan Sütlü

    Işık University, Istanbul, Turkey

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