Triangular quasi-Hopf algebra structures on certain non-semisimple quantum groups
Quantum Algebra
2014-11-18 v1 High Energy Physics - Theory
Abstract
One way to obtain Quantized Universal Enveloping Algebras (QUEAs) of non-semisimple Lie algebras is by contracting QUEAs of semisimple Lie algebras. We prove that every contracted QUEA in a certain class is a cochain twist of the corresponding undeformed universal envelope. Consequently, these contracted QUEAs possess a triangular quasi-Hopf algebra structure. As examples, we consider kappa-Poincare in 3 and 4 spacetime dimensions.
Keywords
Cite
@article{arxiv.0812.3257,
title = {Triangular quasi-Hopf algebra structures on certain non-semisimple quantum groups},
author = {C. A. S. Young and R. Zegers},
journal= {arXiv preprint arXiv:0812.3257},
year = {2014}
}
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32 pages