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

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.

32 pages

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Cited by in corpus (7)

• Anatomy of a deformed symmetry: field quantization on curved momentum space
• $\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
• Twisting and kappa-Poincare
• $\kappa$-Deformations and Extended $\kappa$-Minkowski Spacetimes
• Beyond Fock space in three dimensional semiclassical gravity
• N=1/2 Deformations of Chiral Superspaces from New Quantum Poincare and Euclidean Superalgebras
• Braided Tensor Products and the Covariance of Quantum Noncommutative Free Fields