Quantum Poincaré algebra with standard real structure

Lukierski, Jerzy; Nowicki, Anatol; Ruegg, Henri

doi:10.1016/0393-0440(93)90068-P

Scientific article

English

Quantum Poincaré algebra with standard real structure

ContributorsLukierski, Jerzy; Nowicki, Anatol; Ruegg, Henri

Published inJournal of Geometry and Physics, vol. 11, no. 1-4, p. 425-436

Publication date1993

Abstract

A new real quantum Poincaré algebra which is a standard ∗-Hopf algebra is obtained by the construction of Uq (O(3,2)) (q real). The deformation parameter K is mass-like, and the classical Poincaré algebra is obtained in the limit K → ∞. For our K-Poincaré algebra both Casimirs are given.

Keywords

Quantum Poincaré algebra

Affiliation entities

Faculté des sciences / Section de physique / Département de physique théorique

Citation (ISO format)

LUKIERSKI, Jerzy, NOWICKI, Anatol, RUEGG, Henri. Quantum Poincaré algebra with standard real structure. In: Journal of Geometry and Physics, 1993, vol. 11, n° 1-4, p. 425–436. doi: 10.1016/0393-0440(93)90068-P

Article (Published version)

Identifiers

PID : unige:114370
DOI : 10.1016/0393-0440(93)90068-P

Commercial URLhttp://linkinghub.elsevier.com/retrieve/pii/039304409390068P

Journal ISSN0393-0440

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Quantum Poincaré algebra with standard real structure

A new real quantum Poincaré algebra which is a standard ∗-Hopf algebra is obtained by the construction of Uq (O(3,2)) (q real). The deformation parameter K is mass-like, and the classical Poincaré algebra is obtained in the limit K → ∞. For our K-Poincaré algebra both Casimirs are given.

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