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