arxiv: 1410.5479 · v2 · pith:XNAAFVUEnew · submitted 2014-10-20 · 🧮 math.RT

Determination of the 2- cocycles for the three point Witt algebra

Elizabeth Jurisich , Renato A. Martins This is my paper

classification 🧮 math.RT

keywords pointcocyclesalgebrawittalgebrasalreadyapplicationsbinomial

0 comments p. Extension

Add this Pith Number to your LaTeX paper

\usepackage{pith}
\pithnumber{XNAAFVUE}

Prints a linked pith:XNAAFVUE badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more

read the original abstract

We provide formulas for computing the cocycles on a 3-point Witt algebra Der(R), using an isomorphism between two 3-point algebras Der(R) and Der(S), where the cocycle is already defined. These cocycles can be used to construct universal central extensions and the 3-point Virasoro, which are useful for the representation theory of a 3-point current algebra. The computations determining the cocycles on Der(R) involve elegant applications of the Chu-Vandermonde convolution and other identities for sums of binomial coefficients.

This paper has not been read by Pith yet.

Determination of the 2- cocycles for the three point Witt algebra

discussion (0)