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Titolo:
QUANTUM DEFORMATIONS OF NONSEMISIMPLE ALGEBRAS - THE EXAMPLE OF D = 4INHOMOGENEOUS ROTATIONS
Autore:
LUKIERSKI J; RUEGG H; NOWICKI A;
Indirizzi:
DEPT PHYS THEOR,24 QUAI ERNEST ANSERMET CH-1211 GENEVA 4 SWITZERLAND PEDAGOG UNIV,INST PHYS PL-65029 ZIELONA GORA POLAND
Titolo Testata:
Journal of mathematical physics
fascicolo: 5, volume: 35, anno: 1994,
pagine: 2607 - 2616
SICI:
0022-2488(1994)35:5<2607:QDONA->2.0.ZU;2-8
Fonte:
ISI
Lingua:
ENG
Soggetto:
POINCARE ALGEBRA; GALILEI GROUP; FIELD-THEORY; SYMMETRY;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
CompuMath Citation Index
Science Citation Index Expanded
Citazioni:
34
Recensione:
Indirizzi per estratti:
Citazione:
J. Lukierski et al., "QUANTUM DEFORMATIONS OF NONSEMISIMPLE ALGEBRAS - THE EXAMPLE OF D = 4INHOMOGENEOUS ROTATIONS", Journal of mathematical physics, 35(5), 1994, pp. 2607-2616

Abstract

A general class of deformations of the complexified D = 4 Poincare algebra O(3,1;C) +superset-of BT4(C) is considered with a classical (undeformed) subalgebra O(3;C) +superset-of BT4(C) and deformed relations preserving the O(3;C) tensor structure. We distinguish the class of quantum deformations-the complex noncocommutative Hopf algebras-which depend on one complex mass parameter kappa. Further, we consider the real Hopf algebras, obtained by imposing the reality conditions. For any choice of real metric [O(4), O(3,1), or O(2,2)] the parameter kappa becomes real. All (e.g., Minkowski as well as Euclidean) real quantum algebras with standard reality condition contain as nonlinearities the hyperbolic functions of the energy operator and can be interpreted as introducing an imaginary time lattice. The symmetries of the models with real time lattice are described by a real quantum algebra with nonstandard reality conditions and trigonometric nonlinearities.

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Documento generato il 23/09/20 alle ore 14:39:49