An Atiyah Sequence for Noncommutative Principal Bundles 2022 (English)In: SIGMA. Symmetry, Integrability and Geometry, ISSN 1815-0659, E-ISSN 1815-0659, Vol. 18, p. 1-22Article in journal (Refereed) Published

Abstract [en]

We present a derivation-based Atiyah sequence for noncommutative principal bundles. Along the way we treat the problem of deciding when a given ∗∗-automorphism on the quantum base space lifts to a ∗∗-automorphism on the quantum total space that commutes with the underlying structure group.

Place, publisher, year, edition, pages

NATL ACAD SCI UKRAINE, INST MATH , 2022. Vol. 18, p. 1-22

Keywords [en]

Atiyah sequence, noncommutative principal bundle, freeness, factor system

National Category

Geometry Algebra and Logic Natural Sciences

Research subject

Mathematics and applications

Identifiers

URN: urn:nbn:se:bth-22718DOI: 10.3842/sigma.2022.015ISI: 000766629200001OAI: oai:DiVA.org:bth-22718DiVA, id: diva2:1642635

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open access

Available from: 2022-03-07 Created: 2022-03-07 Last updated: 2022-04-01Bibliographically approved

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Wagner, Stefan

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Wagner, Stefan

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Department of Mathematics and Natural Sciences

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SIGMA. Symmetry, Integrability and Geometry

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