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

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.

preprint2014arXivOpen access
Elizabeth JurisichRenato A. Martins
math.RT
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Open access2 authors1 topic
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Elizabeth JurisichRenato A. Martins

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