B. Janssens

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20242026

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math.DG2025

Local noncommutative De Leeuw Theorems beyond reductive Lie groups

Bas Janssens, Benjamin Oudejans

Let $I^$ be a discrete subgroup of a unimodular locally compact group $G$ . In Math. Ann. 388, 4251-4305 (2024), it was shown that the $L_{p}$ norm of a Fourier multiplier $m$ on $I^$ …

math.DG2025

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.DG2024

How an action that stabilizes a bundle gerbe gives rise to a Lie group extension

Bas Janssens, Peter Kristel

Let $G$ be a bundle gerbe with connection on a smooth manifold $M$ , and let $I ¨ : G \to Diff (M)$ be a smooth action of a FrÃ©chet--Lie group $G$ on…