English

R matrix and bicovariant calculus for the inhomogeneous quantum groups IGL_q(n)

High Energy Physics - Theory 2009-10-22 v1

Abstract

We find the R matrix for the inhomogeneous quantum groups whose homogeneous part is GLq(n)GL_q(n), or its restrictions to SLq(n)SL_q(n),Uq(n)U_q(n) and SUq(n)SU_q(n). The quantum Yang-Baxter equation for R holds because of the Hecke relation for the braiding matrix of the homogeneous subgroup. A bicovariant differential calculus on IGLq(n)IGL_q(n) is constructed, and its application to the D=4D=4 Poincar\'e group ISLq(2,\Cb)ISL_q(2,\Cb) is discussed.

Keywords

Cite

@article{arxiv.hep-th/9211032,
  title  = {R matrix and bicovariant calculus for the inhomogeneous quantum groups IGL_q(n)},
  author = {Leonardo Castellani},
  journal= {arXiv preprint arXiv:hep-th/9211032},
  year   = {2009}
}

Comments

8 pp., LaTeX, DFTT-59/92