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math.DG2024
Universal central extension of the Lie algebra of exact divergence-free vector fields
Bas Janssens, Leonid Ryvkin, Cornelia Vizman
We construct the universal central extension of the Lie algebra of exact divergence-free vector fields, proving a conjecture by Claude Roger from 1995. The proof relies on the anal…
math-ph2024★ 1 cited
Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms
Bas Janssens, Milan Niestijl
Motivated by asymptotic symmetry groups in general relativity, we consider projective unitary representations of the Lie group of compactly suppor…
math.DG2024
How an action that stabilizes a bundle gerbe gives rise to a Lie group extension
Bas Janssens, Peter Kristel
Let be a bundle gerbe with connection on a smooth manifold , and let be a smooth action of a Fréchet--Lie group on $M…