Covariant q-Differential Calculus and its Deformations at q^N=1

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dc.creatorKerner, R.
dc.creatorNiemeyer, B.
dc.date2000-04-26
dc.date.accessioned2026-07-07T04:34:53Z
dc.date.available2026-07-07T04:34:53Z
dc.descriptionWe construct the generalized version of covariant Z_3-graded differential calculus introduced by one of us (R.K.), and then extended to the case of arbitrary Z_N grading. Here our main purpose is to establish the recurrence formulae for the N-th power of covariant q-differential D_q = d_q + A and to analyze more closely the particular case of q being an Nth primitive root of unity. The generalized notions of connection and curvature are introduced and several examples of realization are displayed for N=3 and N=4. Finally we briefly discuss the idea of infinitesimal deformations of the parameter q in the complex plane.
dc.description16 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0004165
dc.identifierhttp://arxiv.org/abs/math/0004165
dc.identifierLett. Math. Phys., 45 (1998) 161-176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59077
dc.subjectQuantum Algebra
dc.subjectDifferential Geometry
dc.subject53-XX, 15-XX, 81-XX
dc.titleCovariant q-Differential Calculus and its Deformations at q^N=1
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