Universal Central Extensions of Gauge Algebras and Groups

Abstract

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.

9 pages, LaTeX. Changes w.r.t. version 2: minor changes (final version). To appear in J. Reine Angew. Math

Cited by in corpus (3)

• Projective unitary representations of infinite dimensional Lie groups
• Universal continuous bilinear forms for compactly supported sections of Lie algebra bundles and universal continuous extensions of certain current algebras
• Universal central extensions for groups of sections on non-compact manifolds