R matrix and bicovariant calculus for the inhomogeneous quantum groups IGLq(n)
Abstract
We find the R matrix for the inhomogeneous quantum groups whose homogeneous part is GLq(n), or its restrictions to SLq(n),Uq(n) and SUq(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) is constructed, and its application to the D=4 Poincar\'e group ISLq(2,) is discussed.
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