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

Leonardo Castellani

doi:10.1016/0370-2693(93)91829-C

paper

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

arXiv:hep-th/9211032 · doi:10.1016/0370-2693(93)91829-C

Abstract

We find the R matrix for the inhomogeneous quantum groups whose homogeneous part is $G L_{q} (n)$ , or its restrictions to $S L_{q} (n)$ , $U_{q} (n)$ and $S U_{q} (n)$ . 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 $I G L_{q} (n)$ is constructed, and its application to the $D = 4$ Poincaré group $ISL_q(2,\Cb)$ is discussed.

8 pp., LaTeX, DFTT-59/92

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An introduction to non-commutative differential geometry on quantum groups

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

Abstract

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