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Quantum Algebras for Maximal Motion Groups of N-Dimensional Flat Spaces

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arxiv hep-th/9404052 v1 pith:3XGZE7SF submitted 1994-04-08 hep-th math.QA

Quantum Algebras for Maximal Motion Groups of N-Dimensional Flat Spaces

classification hep-th math.QA
keywords algebrasdimensionalflatgroupsmethodmotionspacescontractions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

An embedding method to get $q$-deformations for the non--semisimple algebras generating the motion groups of $N$--dimensional flat spaces is presented. This method gives a global and simultaneous scheme of $q$-deformation for all $iso(p,q)$ algebras and for those ones obtained from them by some In\"on\"u--Wigner contractions, such as the $N$--dimensional Euclidean, Poincar\'e and Galilei algebras.

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