On the quantum Poincare' group

Details On the quantum Poincare' group On the quantum Poincare' group

1992-12-02

arxiv.org/abs/hep-th/9212013v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pp., DFTT-57/92

Scientific paper

The inhomogeneous quantum groups $IGL_q(n)$ are obtained by means of a particular projection of $GL_q(n+1)$. The bicovariant differential calculus on $GL_q(n)$ is likewise projected into a consistent bicovariant calculus on $IGL_q(n)$. Applying the same method to $GL_q(n,\Cb)$ leads to a bicovariant calculus for the complex inhomogeneous quantum groups $IGL_q(n,\Cb)$. The quantum Poincare' group and its bicovariant geometry are recovered by specializing our results to $ISL_q(2,\Cb)$.

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