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The Bloch-Okounkov correlation functions at higher levels

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arxiv math/0309186 v2 pith:IH6N2YJM submitted 2003-09-10 math.QA hep-thmath.RT

The Bloch-Okounkov correlation functions at higher levels

classification math.QA hep-thmath.RT
keywords bloch-okounkovcorrelationfunctionsinftylevelsarbitraryestablishexplicit
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We establish an explicit formula for the n-point correlation functions in the sense of Bloch-Okounkov for the irreducible representations of $\hat{gl}_\infty$ and $W_{1+\infty}$ of arbitrary positive integral levels.

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