Triangular quasi-Hopf algebra structures on certain non-semisimple quantum groups

Mathematics – Quantum Algebra

Scientific paper

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32 pages

Scientific paper

10.1007/s00220-010-1086-8

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.

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