An Atiyah Sequence for Noncommutative Principal Bundles
Kay Schwieger, Stefan Wagner

TL;DR
This paper develops a derivation-based Atiyah sequence framework for noncommutative principal bundles, addressing the conditions under which automorphisms of the quantum base lift to the total space, advancing noncommutative geometry theory.
Contribution
It introduces a derivation-based Atiyah sequence for noncommutative principal bundles and analyzes automorphism lifting conditions in quantum settings.
Findings
Established a derivation-based Atiyah sequence for noncommutative bundles
Identified criteria for lifting automorphisms from base to total space
Enhanced understanding of automorphism structures in quantum principal bundles
Abstract
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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