Universal Central Extensions of Gauge Algebras and Groups

Details Universal Central Extensions of Gauge Algebras and Groups Universal Central Extensions of Gauge Algebras and Groups

2010-10-18

arxiv.org/abs/1010.3569v3

Mathematics

Differential Geometry

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

Scientific paper

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.

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