UNIGE document Chapitre d'actes
previous document  unige:115557  next document
add to browser collection
Title

q-Deformation of Semisimple and Non-Semisimple Lie Algebras

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
Collection NATO ASI Series : advanced science institutes series. Series C, Mathematical and physical sciences; 409
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
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

180 hits

0 download

Update

Deposited on : 2019-04-01

Export document
Format :
Citation style :