affine algebras; Krichever--Novikov type algebras; central extensions; Witt algebra; Virasoro algebra; Lie algebra cohomology; conformal field theory; almost-grading
Abstract :
[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
given.
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.
Disciplines :
Mathematics
Author, co-author :
Schlichenmaier, Martin ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
N point Virasoro algebras considered as Krichever-Novikov type algebras