Proceedings chapter (Published version) (1.5 MB) - 
Limited access to UNIGEOther version: http://www.springerlink.com/index/10.1007/978-94-011-1980-1_3
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unige:115557 
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q-Deformation of Semisimple and Non-Semisimple Lie Algebras |
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| Author | ||
| Published in | Ibort, L.A. & Rodríguez, M.A. Integrable Systems, Quantum Groups, and Quantum Field Theories. Salamanca - June 15-27, 1992 - Dordrecht: Kluwer Academic Publishers. 1993, p. 45-81 | |
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NATO ASI Series : advanced science institutes series. Series C, Mathematical and physical sciences; 409 |
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| Abstract | We give an elementary introduction to the Drinfeld-Jimbo procedure of the quantum deformation Uq(g) of semisimple Lie algebras g. The q—Serre relations are discussed in some detail, in the Chevalley and the Cartan—Weyl basis. We review the real forms of g and Uq(g). The general procedure is illustrated by the examples Uq(sℓ(2)) and Uq (so(5, ℂ)). After some general considerations on non-semisimple Lie algebras, we discuss in detail the quantum deformation of the Poincaré algebra, involving the contraction of Uq(so(3, 2)). Some physical consequences are mentioned. | |
| Identifiers | ISBN: 9789401048743 | |
| Full text |
Proceedings chapter (Published version) (1.5 MB) - Limited access to UNIGE Other version: http://www.springerlink.com/index/10.1007/978-94-011-1980-1_3 |
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| Structures | ||
| Citation (ISO format) | RUEGG, Henri. q-Deformation of Semisimple and Non-Semisimple Lie Algebras. In: Ibort, L.A. & Rodríguez, M.A. (Ed.). Integrable Systems, Quantum Groups, and Quantum Field Theories. Salamanca. Dordrecht : Kluwer Academic Publishers, 1993. p. 45-81. (NATO ASI Series : advanced science institutes series. Series C, Mathematical and physical sciences; 409) doi: 10.1007/978-94-011-1980-1_3 https://archive-ouverte.unige.ch/unige:115557 |
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