Bicovariant Calculus on Twisted ISO(N), Quantum Poincare' Group and Quantum Minkowski Space

Abstract

A bicovariant calculus on the twisted inhomogeneous multiparametric $q$-groups of the $B_n,C_n,D_n$ type, and on the corresponding quantum planes, is found by means of a projection from the bicovariant calculus on $B_{n+1}$, $C_{n+1}$, $D_{n+1}$. In particular we obtain the bicovariant calculus on a dilatation-free $q$-Poincaré group $IS{O}_q(3,1)$, and on the corresponding quantum Minkowski space. The classical limit of the $B_n,C_n,D_n$ bicovariant calculus is discussed in detail.

35 pages, latex, no figures

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