UNIGE document Scientific Article
previous document  unige:114365  next document
add to browser collection

Twisted classical Poincaré algebras

Lukierski, Jerzy
Tolstoy, Valerij N.
Nowicki, Anatol
Published in Journal of Physics. A, Mathematical and General. 1994, vol. 27, no. 7, p. 2389-2399
Abstract We consider the twisting of the Hopf structure for the classical enveloping algebra U(g), where g is an inhomogenous rotation algebra, with explicit formulae given for the D=4 Poincare algebra (g=P4). The comultiplications of twisted UF(P4) are obtained by conjugating the primitive classical coproducts by F in U(C)(X)U(C), where c denotes any Abelian subalgebra of P4, and the universal R-matrices for UF(P4) are triangular. As an example we show that the quantum deformation of the Poincare algebra recently proposed by Chaichian and Demiczev is a twisted classical Poincare algebra. The interpretation of the twisted Poincare algebra as describing relativistic symmetries with clustered two-particle states is proposed.
Full text
Project FNS: 93.0083
(ISO format)
LUKIERSKI, Jerzy et al. Twisted classical Poincaré algebras. In: Journal of Physics. A, Mathematical and General, 1994, vol. 27, n° 7, p. 2389-2399. doi: 10.1088/0305-4470/27/7/018 https://archive-ouverte.unige.ch/unige:114365

174 hits

0 download


Deposited on : 2019-02-15

Export document
Format :
Citation style :