On the geometry of the quantum poincaré group

Paolo Aschieri

doi:10.1016/S0920-5632(97)00326-5

On the geometry of the quantum poincaré group

Paolo Aschieri

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

Abstract

We review the construction of the multiparametric inhomogeneous orthogonal quantum group ISO_q,r(N) as a projection from SO_q,r(N + 2), and recall the conjugation that for N = 4 leads to the quantum Poincaré group. We study the properties of the universal enveloping algebra U_q,r(iso(N)), and give an R-matrix formulation. A quantum Lie algebra and a bicovariant differential calculus on twisted ISO(N) are found.

Lingua originale	Inglese
pagine (da-a)	191-198
Numero di pagine	8
Rivista	Nuclear Physics B - Proceedings Supplements
Volume	56
Numero di pubblicazione	3
DOI	https://doi.org/10.1016/S0920-5632(97)00326-5
Stato di pubblicazione	Pubblicato - lug 1997
Pubblicato esternamente	Sì

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10.1016/S0920-5632(97)00326-5

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title = "On the geometry of the quantum poincar{\'e} group",

abstract = "We review the construction of the multiparametric inhomogeneous orthogonal quantum group ISOq,r(N) as a projection from SOq,r(N + 2), and recall the conjugation that for N = 4 leads to the quantum Poincar{\'e} group. We study the properties of the universal enveloping algebra Uq,r(iso(N)), and give an R-matrix formulation. A quantum Lie algebra and a bicovariant differential calculus on twisted ISO(N) are found.",

author = "Paolo Aschieri",

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AB - We review the construction of the multiparametric inhomogeneous orthogonal quantum group ISOq,r(N) as a projection from SOq,r(N + 2), and recall the conjugation that for N = 4 leads to the quantum Poincaré group. We study the properties of the universal enveloping algebra Uq,r(iso(N)), and give an R-matrix formulation. A quantum Lie algebra and a bicovariant differential calculus on twisted ISO(N) are found.

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On the geometry of the quantum poincaré group

Abstract

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