Yet another construction of the central extension of the loop group

Details Yet another construction of the central extension of the loop group Yet another construction of the central extension of the loop group

2001-01-31

arxiv.org/abs/math/0101258v1

Mathematics

Differential Geometry

Conference talk at the National Research Symposium on Geometric Analysis and Applications at the Centre for Mathematics and it

Scientific paper

We give a characterisation of central extensions of a Lie group G by the
non-zero complex numbers in terms of a differential two-form on G and a
differential one-form on GxG. This is applied to the case of the central
extension of the loop group.

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