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