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Titolo:
TWISTED CLASSICAL POINCARE ALGEBRAS
Autore:
LUKIERSKI J; RUEGG H; TOLSTOY VN; NOWICKI A;
Indirizzi:
UNIV GENEVA,DEPT PHYS THEOR,24 QUAI ERNEST ANSERMET CH-1211 GENEVA 4 SWITZERLAND UNIV BONN,INST PHYS D-53115 BONN GERMANY
Titolo Testata:
Journal of physics. A, mathematical and general
fascicolo: 7, volume: 27, anno: 1994,
pagine: 2389 - 2399
SICI:
0305-4470(1994)27:7<2389:TCPA>2.0.ZU;2-5
Fonte:
ISI
Lingua:
ENG
Soggetto:
QUANTUM GROUPS; FORMS;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Science Citation Index Expanded
Citazioni:
24
Recensione:
Indirizzi per estratti:
Citazione:
J. Lukierski et al., "TWISTED CLASSICAL POINCARE ALGEBRAS", Journal of physics. A, mathematical and general, 27(7), 1994, pp. 2389-2399

Abstract

We consider the twisting of the Hopf structure for the classical enveloping algebra U(g), where g is an inhomogeneous rotation algebra, with explicit formulae given for the D = 4 Poincare algebra (g = P4). Thecomultiplications of twisted U(F)(P4) are obtained by conjugating theprimitive classical coproducts by F is-an-element-of U(c) X U(c), where c denotes any Abelian subalgebra of P4, and the universal R-matrices for U(F)(P4) are triangular. As an example we show that the quantum deformation of the Poincare algebra recently proposed by Chaichain andDemiczev 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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Documento generato il 29/09/20 alle ore 05:17:50