Bicovariant calculus on twisted ISO(n), quantum Poincaré group and quantum Minkowski space

Paolo Aschieri; Leonardo Castellani

doi:10.1142/S0217751X96002091

Bicovariant calculus on twisted ISO(n), quantum Poincaré group and quantum Minkowski space

Paolo Aschieri
, Leonardo Castellani

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

A bicovariant calculus on the twisted inhomogeneous multiparametric q groups of the B_n, C_n, D_n types, 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 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.

Lingua originale	Inglese
pagine (da-a)	4513-4549
Numero di pagine	37
Rivista	International Journal of Modern Physics A
Volume	11
Numero di pubblicazione	25
DOI	https://doi.org/10.1142/S0217751X96002091
Stato di pubblicazione	Pubblicato - 1996
Pubblicato esternamente	Sì

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abstract = "A bicovariant calculus on the twisted inhomogeneous multiparametric q groups of the Bn, Cn, Dn types, and on the corresponding quantum planes, is found by means of a projection from the bicovariant calculus on Bn+1, Cn+1, Dn+1. In particular we obtain the bicovariant calculus on a dilatation-free q Poincar{\'e} group ISOq(3, 1), and on the corresponding quantum Minkowski space. The classical limit of the Bn, Cn, Dn bicovariant calculus is discussed in detail.",

author = "Paolo Aschieri and Leonardo Castellani",

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N2 - A bicovariant calculus on the twisted inhomogeneous multiparametric q groups of the Bn, Cn, Dn types, and on the corresponding quantum planes, is found by means of a projection from the bicovariant calculus on Bn+1, Cn+1, Dn+1. In particular we obtain the bicovariant calculus on a dilatation-free q Poincaré group ISOq(3, 1), and on the corresponding quantum Minkowski space. The classical limit of the Bn, Cn, Dn bicovariant calculus is discussed in detail.

AB - A bicovariant calculus on the twisted inhomogeneous multiparametric q groups of the Bn, Cn, Dn types, and on the corresponding quantum planes, is found by means of a projection from the bicovariant calculus on Bn+1, Cn+1, Dn+1. In particular we obtain the bicovariant calculus on a dilatation-free q Poincaré group ISOq(3, 1), and on the corresponding quantum Minkowski space. The classical limit of the Bn, Cn, Dn bicovariant calculus is discussed in detail.

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DO - 10.1142/S0217751X96002091

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Bicovariant calculus on twisted ISO(n), quantum Poincaré group and quantum Minkowski space

Abstract

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