University of Hertfordshire

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

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  • 776422

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Original languageEnglish
Pages (from-to)585-611
JournalCommunications in Mathematical Physics
Publication statusPublished - 2010


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

ID: 776422