1999/12/20 by D. G. Pak
Physics and Astronomy · #hep-th
published as Theor.Math.Phys., 1998, V.116:(2), 947-955 (reduced version, title changed) · 13 pages, talk at the Int. Workshop "Quantum Groups, Deformations and Contractions", Istanbul, Turkey, September, 1997
arxiv created 1999/12/20 · arxiv updated 2009/11/30
Three-dimensional bicovariant differential calculus on the quantum group SUq(2) is constructed using the approach based on global covariance under the action of the stabilizing subgroup U(1). Explicit representations of possible q-deformed Lie algebras are obtained in terms of differential operators. The consistent gauge covariant differential calculus on SUq(2) is uniquely defined. A non-standard Leibnitz rule is proposed for the exterior differential. The minimal gauge theory with SUq(2) quantum group symmetry is considered.