A DIFFERENTIAL-CALCULUS ON THE QUANTUM GROUP SUQ(2) COMPATIBLE WITH THE GAUGE-TRANSFORMATION STRUCTURE

Authors
PAK DG
Citation
Dg. Pak, A DIFFERENTIAL-CALCULUS ON THE QUANTUM GROUP SUQ(2) COMPATIBLE WITH THE GAUGE-TRANSFORMATION STRUCTURE, Theoretical and mathematical physics, 116(2), 1998, pp. 947-955
Citations number
17
Categorie Soggetti
Physycs, Mathematical",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
116
Issue
2
Year of publication
1998
Pages
947 - 955
Database
ISI
SICI code
0040-5779(1998)116:2<947:ADOTQG>2.0.ZU;2-7
Abstract
We consider a three-dimensional bicovariant differential calculus on t he quantum group SUq(2) that is compatible with the structure of gauge transformations. In the approach based on the global covariance with respect to the stability subgroup U(1), we show that the gauge-covaria nt exterior differential algebra on SUq(2) is uniquely determined. We construct explicit representations of q-deformed Lie algebras in terms of differential operators.