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

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dc.creatorPak, D. G.
dc.date1995-10-19
dc.date.accessioned2026-07-07T09:16:42Z
dc.date.available2026-07-07T09:16:42Z
dc.descriptionA 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.
dc.description11 pages, latex
dc.identifierhttps://arxiv.org/abs/q-alg/9510017
dc.identifierhttp://arxiv.org/abs/q-alg/9510017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153449
dc.subjectQuantum Algebra
dc.titleRepresentation of $SU_q(2)$-covariant $q$-Lie Algebra in Terms of Differential Operators
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