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
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
Item Type | Article |
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Keywords | math.qa, hep-th |
Date Deposited | 15 May 2025 12:25 |
Last Modified | 30 May 2025 23:50 |
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