An explicit nontrivial n-dimensional central extension is constructed for the Lie groupoid of broken diffeomorphisms on the circle, generalizing the Virasoro group and algebra.
Fuchs.Cohomology of Infinite-Dimensional Lie Algebras
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Virasoro extensions for diffeomorphisms with breaks
An explicit nontrivial n-dimensional central extension is constructed for the Lie groupoid of broken diffeomorphisms on the circle, generalizing the Virasoro group and algebra.