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

1995/10/26 by D. G. Pak, Pak, D. G.
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9510025

14 pages, latex

arxiv created 1995/10/26 · arxiv updated 2009/11/30

Abstract

A 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.

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