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

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arxiv q-alg/9601006 v1 pith:EOUCDM2R submitted 1996-01-09 q-alg hep-thmath.QA

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

classification q-alg hep-thmath.QA
keywords bicovariantcalculusquantumcorrespondinggroupminkowskispacetwisted
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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 $q$-Poincar\'e group $ISO_q (3,1)$, and on the corresponding quantum Minkowski space. The classical limit of the $B_n,C_n,D_n$ bicovariant calculus is discussed in detail.

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  1. Bicovariant Codifferential Calculi

    math.QA 2026-02 unverdicted novelty 6.0

    Bicovariant codifferential calculi on Hopf algebras reduce to classifying Yetter-Drinfeld submodules, providing a dual to existing differential calculi constructions.