Representations of $SO(5)_{q}$ and Non-Minimal $q$-Deformation

Details Representations of $SO(5)_{q}$ and Non-Minimal $q$-Deformation Representations of $SO(5)_{q}$ and Non-Minimal $q$-Deformation

1994-11-15

arxiv.org/abs/hep-th/9411106v1

J.Phys. A28 (1995) 3701-3708

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Tex.file

Scientific paper

10.1088/0305-4470/28/13/014

Representations of $SO(5)_{q}$ can be constructed on bases such that either the Chevalley triplet $(e_{1},\;f_{1},\;h_{1})$ or $(e_{2},\;f_{2},\;h_{2})$ has the standard $SU(2)_{q}$ matrix elements. The other triplet in each cases has a more complicated action. The $q$-deformation of such representations present striking differences. In one case a {\bf non-minimal} deformation is found to be essential. This is explained and illustrated below. Broader interests of a parallel use of the two bases are pointed out.

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