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Quantum Gauge Transformations and Braided Structure on Quantum Principal Bundles

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arxiv q-alg/9605010 v1 pith:5AU33LPV submitted 1996-05-05 q-alg math.QA

Mico Durdevic This is my paper · ORCID
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keywords quantumbundlebraidedgaugeoperatorprincipaltransformationsadmits
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It is shown that every quantum principal bundle is braided, in the sense that there exists an intrinsic braid operator twisting the functions on the bundle. A detailed algebraic analysis of this operator is performed. In particular, it turns out that the braiding admits a natural extension to the level of arbitrary differential forms on the bundle. Applications of the formalism to the study of quantum gauge transformations are presented.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Noncommutative vector field calculi

    math.QA 2026-07 accept novelty 6.0 of 10

    First order vector field calculi are shown to be categorically adjoint to first order differential calculi, with bicovariant versions in bijection with quantum tangent spaces and a sheaf-theoretic Atiyah sequence on q...

  2. Differential calculus on Hopf--Galois extension via the Durdevi\'c braiding

    math.QA 2026-01 unverdicted novelty 6.0 of 10

    Constructs σ-generated differential calculi on principal comodule algebras via Durdević braiding, proves existence for arbitrary cases, shows natural descent of connections under compatibility conditions, and develops...

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