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N point Virasoro algebras considered as Krichever-Novikov type algebras
Schlichenmaier, Martin
2015
 

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Keywords :
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
Publication date :
November 2015
Number of pages :
14
Available on ORBilu :
since 15 December 2015

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