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math-ph2026
Central extensions for loop groups of area-preserving diffeomorphisms and their fuzzy sphere limits
Bas Janssens, Zhenghan Wang
We classify central extensions for the loop group LSDiff(S^2) of area-preserving diffeomorphisms of the 2-sphere, and of related twisted loop groups. We then show that the correspo…
math-ph2021★ 4 cited
Positive energy representations of gauge groups I: Localization
Bas Janssens, Karl-Hermann Neeb
This is the first in a series of papers on projective positive energy representations of gauge groups. Let be a principal fiber bundle, and let $Γ_{c}(M,\mathrm{Ad…