Hopf-cyclic cohomology of quantum enveloping algebras


Kaygun A. , Sutlu S.

JOURNAL OF NONCOMMUTATIVE GEOMETRY, cilt.10, ss.429-446, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 10 Konu: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.4171/jncg/238
  • Dergi Adı: JOURNAL OF NONCOMMUTATIVE GEOMETRY
  • Sayfa Sayıları: ss.429-446

Özet

In this paper we calculate both the periodic and non-periodic Hopf-cyclic cohomology of Drinfeld-Jimbo quantum enveloping algebra U-q (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.