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

B. Abdesselam; D. Arnaudon; A. Chakrabarti

doi:10.1088/0305-4470/28/13/014

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

High Energy Physics - Theory 2009-10-28 v1 Quantum Algebra q-alg

Authors: B. Abdesselam , D. Arnaudon , A. Chakrabarti

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

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.

Keywords

SO(5)_q representations q-deformation non-minimal deformation Chevalley triplet SU(2)_q

Cite

@article{arxiv.hep-th/9411106,
  title  = {Representations of $SO(5)_{q}$ and Non-Minimal $q$-Deformation},
  author = {B. Abdesselam and D. Arnaudon and A. Chakrabarti},
  journal= {arXiv preprint arXiv:hep-th/9411106},
  year   = {2009}
}

Comments

11 pages, Tex.file

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

Abstract

Keywords

Cite

Comments

Related papers