W-REALIZATION OF LIE-ALGEBRAS - APPLICATION TO SO(4, 2) AND POINCARE ALGEBRAS

Authors
BARBARIN F RAGOUCY E SORBA P
Citation
F. Barbarin et al., W-REALIZATION OF LIE-ALGEBRAS - APPLICATION TO SO(4, 2) AND POINCARE ALGEBRAS, Communications in Mathematical Physics, 186(2), 1997, pp. 393-411
Citations number
12
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
186
Issue
2
Year of publication
1997
Pages
393 - 411
Database
ISI
SICI code
0010-3616(1997)186:2<393:WOL-AT>2.0.ZU;2-Q
Abstract
The property of some finite W-algebras to appear as the commutant of a particular subalgebra in a simple Lie algebra G is exploited for the obtention of new G-realizations from a ''canonical'' differential one. The method is applied to the conformal algebra so(4, 2) and therefore yields also results for its Poincare subalgebra. Unitary irreducible representations of these algebras are recognized in this approach, whi ch is naturally compared - or associated - to the induced representati on technique.