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

Charles A. S. Young; Robin Zegers

doi:10.1007/s00220-010-1086-8

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

Charles A. S. Young, Robin Zegers

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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

Original language	English
Pages (from-to)	585-611
Journal	Communications in Mathematical Physics
Volume	298
Issue number	3
DOIs	https://doi.org/10.1007/s00220-010-1086-8
Publication status	Published - 2010

Keywords

math.QA
hep-th

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10.1007/s00220-010-1086-8

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

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