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

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

1992-11-05

arxiv.org/abs/hep-th/9211032v1

Phys.Lett. B298 (1993) 335-338

Physics

High Energy Physics

High Energy Physics - Theory

8 pp., LaTeX, DFTT-59/92

Scientific paper

10.1016/0370-2693(93)91829-C

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 $D=4$ Poincar\'e group $ISL_q(2,\Cb)$ is discussed.

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