An Atiyah Sequence for Noncommutative Principal Bundles

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.

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2022
Main Authors: Schwieger, Kay, Wagner, Stefan
Format: Article
Language:English
Published: Інститут математики НАН України 2022
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211530
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:An Atiyah Sequence for Noncommutative Principal Bundles. Kay Schwieger and Stefan Wagner. SIGMA 18 (2022), 015, 22 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine