Deformation Quasi-Hopf Algebras of Non-semisimple Type from Cochain Twists

Young, Charles A. S. and Zegers, Robin (2010) Deformation Quasi-Hopf Algebras of Non-semisimple Type from Cochain Twists. Communications in Mathematical Physics, 298 (3). pp. 585-611. ISSN 0010-3616
Copy

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


picture_as_pdf
776422.pdf
subject
Submitted Version

View Download

EndNote BibTeX Reference Manager Refer Atom Dublin Core Data Cite XML METS MPEG-21 DIDL OpenURL ContextObject in Span OpenURL ContextObject ASCII Citation RIOXX2 XML HTML Citation MODS
Export

Downloads