N-point Virasoro algebras   are  multi-point Krichever--Novikov type algebras

Reference : N-point Virasoro algebras are multi-point Krichever--Novikov type algebras


	Document type :	E-prints/Working papers : First made available on ORBilu
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/21021

Title :	N-point Virasoro algebras are multi-point Krichever--Novikov type algebras
Language :	English
Author, co-author :	Schlichenmaier, Martin [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	May-2015
Number of pages :	46
Peer reviewed :	No
Abstract :	[en] We show 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. The concept of almost-grading will yield information about triangular decompositions which are of importance in the theory of representations. As examples the algebra of functions, vector fields, differential operators, current algebras, affine Lie algebras, Lie superalgebras and their central extensions are studied. Very detailed calculations for the three-point case are given.
Funders :	Univerisity of Luxembourg, FNR
Name of the research project :	GEOMQ11, qUANTMOD O13/570706
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/21021

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