We show that the canonical central extension of the group of sections of a Lie group bundle over a compact manifold, constructed in [NW09], is universal. In doing so, we prove universality of the corresponding central extension of Lie algebras in a slightly more general setting.
- Pub Date:
- October 2010
- Mathematics - Differential Geometry;
- Mathematical Physics;
- 9 pages, LaTeX. Changes w.r.t. version 2: minor changes (final version). To appear in J. Reine Angew. Math