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

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

Accesso al documento

10.1016/S0920-5632(97)00326-5

Altri file e collegamenti

Link to publication in Scopus

Cita questo

@article{df800330b9ad40d0bf0191c9518b2d40,

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",

year = "1997",

month = jul,

doi = "10.1016/S0920-5632(97)00326-5",

language = "English",

volume = "56",

pages = "191--198",

journal = "Nuclear Physics B - Proceedings Supplements",

issn = "0920-5632",

publisher = "Elsevier B.V.",

number = "3",

}

TY - JOUR

T1 - On the geometry of the quantum poincaré group

AU - Aschieri, Paolo

PY - 1997/7

Y1 - 1997/7

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0031187973&partnerID=8YFLogxK

U2 - 10.1016/S0920-5632(97)00326-5

DO - 10.1016/S0920-5632(97)00326-5

M3 - Article

AN - SCOPUS:0031187973

SN - 0920-5632

VL - 56

SP - 191

EP - 198

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

IS - 3

ER -

On the geometry of the quantum poincaré group

Abstract

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo