On the geometry of the quantum poincaré group

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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 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.

Original languageEnglish
Pages (from-to)191-198
Number of pages8
JournalNuclear Physics B - Proceedings Supplements
Volume56
Issue number3
DOIs
Publication statusPublished - Jul 1997
Externally publishedYes

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