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Classical lifting processes and multiplicative vector fields

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abstract

We extend the calculus of multiplicative vector fields and differential forms and their intrinsic derivatives from Lie groups to Lie groupoids; this generalization turns out to include also the classical process of complete lifting from arbitrary manifolds to tangent and cotangent bundles. Using this calculus we give a new description of the Lie bialgebroid structure associated with a Poisson groupoid.

fields

math.DG 1

years

2025 1

verdicts

UNVERDICTED 1

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  • On Multiplicative Weightings for Lie Groupoids and Lie Algebroids math.DG · 2025-08-14 · unverdicted · none · ref 42 · internal anchor

    The submission pairs a differential-geometry abstract on Lie groupoid weightings with an unrelated astrophysics manuscript, leaving the claimed results unsupported by the provided text.