Star products and central extensions

Details Star products and central extensions Star products and central extensions

2004-09-15

arxiv.org/abs/math-ph/0409032v2

Publ. in "Analysis, Geometry and Topology of Elliptic Operators" (World Scientific, 2006). Ed. by Bernhelm Booss-Bavnbek, Slaw

Physics

Mathematical Physics

Minor corrections and added references

Scientific paper

The purpose of the present note is two-fold. First, to show that deformations
of algebras of smooth functions can be used to construct topologically
nontrivial standard central extensions of loop groups. Second, to use
noncommutative geometry as a regularization of current algebras in higher
dimensions with the aim of constructing representations of current algebras.

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