- 95-535 Schlichenmaier, M. , Sheinman, Oleg K.
- Sugawara Construction and Casimir Operators for
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Dec 18, 95
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Abstract. We show how to obtain from highest weight representations of
Krichever-Novikov algebras of affine type (also
called higher genus affine Kac-Moody algebras)
representations of centrally extended Krichever-Novikov vector field
algebras via the Sugawara construction.
This generalizes classical results where one obtains
representations of the Virasoro algebra.
Relations between the weights of the corresponding representations
are given and Casimir operators are constructed.
In an appendix the Sugawara construction for the multi-point
situation is done.