Catalogo Articoli (Spogli Riviste)

OPAC HELP

Titolo:
ALL REAL FORMS OF UQ(SL(4 C)) AND D = 4 CONFORMAL QUANTUM ALGEBRAS
Autore:
LUKIERSKI J; NOWICKI A; SOBCZYK J;
Indirizzi:
WROCLAW UNIV,INST THEORET PHYS,PL MAXA BORNA 9 PL-50205 WROCLAW POLAND PEDAGOG UNIV,INST PHYS PL-65069 ZIELON GORA POLAND RUHR UNIV BOCHUM,INST MATH W-4630 BOCHUM GERMANY
Titolo Testata:
Journal of physics. A, mathematical and general
fascicolo: 16, volume: 26, anno: 1993,
pagine: 4047 - 4058
SICI:
0305-4470(1993)26:16<4047:ARFOUC>2.0.ZU;2-K
Fonte:
ISI
Lingua:
ENG
Soggetto:
UNIVERSAL R-MATRIX;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Science Citation Index Expanded
Citazioni:
17
Recensione:
Indirizzi per estratti:
Citazione:
J. Lukierski et al., "ALL REAL FORMS OF UQ(SL(4 C)) AND D = 4 CONFORMAL QUANTUM ALGEBRAS", Journal of physics. A, mathematical and general, 26(16), 1993, pp. 4047-4058

Abstract

The star operations and reality conditions for the complex quantum algebra U(q)(sl(4;C)) providing real quantum algebras U(q)(o(6 - k,k))k = 0, 1,2,3 and U(q)(su(3, 1)) are classified. Standard and non-standard star operations are considered. It appears that only four choices ofreal forms (one with absolute value of q = 1, three with q real) provide real Hopf algebra U(q)(su(2, 2)) congruent-to U(q)(o(4, 2)) describing D = 4 conformal quantum algebras. We show that only the antipode-extended Cartan-Weyl basis of U(q)(sl(4; C)) permits to define real q-deformed D = 4 conformal algebra generators. In order to obtain the real D = 4 Weyl algebra as Hopf subalgebra of U(q)(su(2, 2)) only the non-standard real forms can be employed.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 23/09/20 alle ore 15:20:52