Reference : N point Virasoro algebras considered as Krichever-Novikov type algebras
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Physical, chemical, mathematical & earth Sciences : Mathematics
N point Virasoro algebras considered as Krichever-Novikov type algebras
Schlichenmaier, Martin mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
[en] affine algebras ; Krichever--Novikov type algebras ; central extensions ; Witt algebra ; Virasoro algebra ; Lie algebra cohomology ; conformal field theory ; almost-grading
[en] We explain how the recently again discussed $N$-point Witt, Virasoro,
and affine Lie algebras are genus zero
examples of the multi-point versions of Krichever--Novikov
type algebras as introduced and studied by Schlichenmaier. Using this more
general point of view, useful structural insights and an easier access to
calculations can be obtained.
As example, explicit expressions for the three-point situation are
This is a write-up of a talk presented at the Bialowieza meeting in
2015. Details can be found in a recent manuscript by the author.
Researchers ; Professionals ; Students

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