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arXiv · hep-th/9211032

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

Leonardo Castellani
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Abstract

We find the R matrix for the inhomogeneous quantum groups whose homogeneous part is $GL_q(n)$, or its restrictions to $SL_q(n)$,$U_q(n)$ and $SU_q(n)$. 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 $IGL_q(n)$ is constructed, and its application to the $D=4$ Poincaré group $ISL_q(2,\Cb)$ is discussed.

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Leonardo Castellani. 1992-11-05. R matrix and bicovariant calculus for the inhomogeneous quantum groups IGL_q(n). https://doi.org/10.1016/0370-2693(93)91829-c

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