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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.
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FNS: 93.0083
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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

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Deposited on : 2019-02-15

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