Representation of SU_q(2)-covariant q-Lie Algebra in Terms of Differential Operators

1995/10/19 by Pak, D. G.
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.q-alg/9510017

Abstract

A three-dimensional q-Lie algebra of SU_q(2) is realized in terms of first- and second-order differential operators. Starting from the q-Lie algebra one has constructed a left-covariant differential calculus on the quantum group. The proposed construction is inverse to the standard Woronowicz approach; the left-invariant vector fields are introduced as initial objects whereas the differential 1-forms are defined in a dual manner.

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