Determination of the 2- cocycles for the three point Witt algebra
Representation Theory
2014-10-24 v2
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.
Keywords
Cite
@article{arxiv.1410.5479,
title = {Determination of the 2- cocycles for the three point Witt algebra},
author = {Elizabeth Jurisich and Renato A. Martins},
journal= {arXiv preprint arXiv:1410.5479},
year = {2014}
}