Can I read $N$-point Virasoro algebras are multi-point Krichever--Novikov type algebras on EtoBox?

$N$-point Virasoro algebras are multi-point Krichever--Novikov type algebras by Schlichenmaier, Martin is a scholarly article available to read on EtoBox.

What is $N$-point Virasoro algebras are multi-point Krichever--Novikov type algebras about?

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.

Author

Schlichenmaier, Martin

Published

2015

Language

EN