Differential Calculi on the Quantum Group $SU_q(2)$ and Global $U(1)$-covariance

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153452A variety of three-dimensional left-covariant differential calculi on the quantum group $SU_q(2)$ is considered using an approach based on global $ U(1) $ -covariance. Explicit representations of possible $q $-Lie algebras are constructed in terms of differential operators. A gauge covariant differential algebra is uniquely determined. The non-standard Leibnitz rule is obtained for a corresponding $q$-Lie algebra.14 pages, latexQuantum AlgebraDifferential Calculi on the Quantum Group $SU_q(2)$ and Global $U(1)$-covariancetext