Hopf-cyclic Cohomology of Quantum Enveloping Algebras
K-Theory and Homology
2020-03-03 v1 Quantum Algebra
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 show that its Hochschild cohomology is concentrated in a single degree determined by the rank of the Lie algebra .
Keywords
Cite
@article{arxiv.1409.4002,
title = {Hopf-cyclic Cohomology of Quantum Enveloping Algebras},
author = {Atabey Kaygun and Serkan Sütlü},
journal= {arXiv preprint arXiv:1409.4002},
year = {2020}
}