D = 4 quantum Poincaré algebras and finite difference time derivatives

Lukierski, Jerzy; Nowicki, Anatol; Ruegg, Henri

doi:10.1007/978-94-011-1719-7_30

Proceedings chapter

English

D = 4 quantum Poincaré algebras and finite difference time derivatives

ContributorsLukierski, Jerzy; Nowicki, Anatol; Ruegg, Henri

Presented atWrocław, September 1992

Published inOziewicz, Zbigniew ; Jancewicz, Bernard & Borowiec, Andrzej (Ed.), Spinors, twistors, Clifford algebras and quantum deformations, p. 257-266

PublisherDordrecht : Kluwer Academic Publishers

Publication date1993

Abstract

The contraction of quantum Lie algebras providing real D = 4 quantum Poincaré algebras are briefly reviewed. The case of κ-deformation of D = 4 Poincaré algebra with flat nonrelativistic sector is described in some detail. The κ-modification of relativistic dynamics consists in introducing in consistent way the finite difference time derivatives. The κ-Lorentz group has a quasigroup structure introduced by Batalin.

Affiliation entities

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

Citation (ISO format)

LUKIERSKI, Jerzy, NOWICKI, Anatol, RUEGG, Henri. D = 4 quantum Poincaré algebras and finite difference time derivatives. In: Spinors, twistors, Clifford algebras and quantum deformations. Oziewicz, Zbigniew ; Jancewicz, Bernard & Borowiec, Andrzej (Ed.). Wrocław. Dordrecht : Kluwer Academic Publishers, 1993. p. 257–266. doi: 10.1007/978-94-011-1719-7_30

Proceedings chapter (Published version)

Identifiers

PID : unige:114650
DOI : 10.1007/978-94-011-1719-7_30

ISBN0-7923-2251-7

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D = 4 quantum Poincaré algebras and finite difference time derivatives

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