Chains of twists and induced deformations |
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Authors: | V. D. Lyakhovsky M. A. del Olmo |
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Affiliation: | (1) Department of Theoretical Physics, St.Petersburg State University, St. Petersburg, 198904, Russia;(2) Departamento de Física Teórica, Universidad de Valladolid, Valladolid, E-47011, Spain |
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Abstract: | Chains of extended twists are composed of factors . The set of Jordanian twists {} can be applied to the initial Hopf algebra . In this case the remaining (transformed) factors of the chain can serve as extensions for such a multijordanian twist. We study the properties of these generalized extensions and the spectra of deformations of the corresponding Heisenberg-like algebras. The results are explicitly demonstrated for the case when . |
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