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arXiv · 1410.5479

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

Elizabeth Jurisich·Renato A. Martins
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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.

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BibTeXRIS

Elizabeth Jurisich, Renato A. Martins. 2014-10-23. Determination of the 2- cocycles for the three point Witt algebra. https://arxiv.org/abs/1410.5479

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