Correlation functions of strict partitions and twisted Fock spaces

Weiqiang Wang

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Correlation functions of strict partitions and twisted Fock spaces

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arxiv math/0303259 v2 pith:WSO5DK3A submitted 2003-03-20 math.QA math.CO

Correlation functions of strict partitions and twisted Fock spaces

Weiqiang Wang This is my paper

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keywords functionscorrelationtwistedfockpartitionsspacesstrictafford

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Using twisted Fock spaces, we formulate and study two twisted versions of the n-point correlation functions of Bloch-Okounkov, and then identify them with q-expectation values of certain functions on the set of (odd) strict partitions. We find closed formulas for the 1-point functions in both cases in terms of Jacobi theta functions. These correlation functions afford several distinct interpretations.

Correlation functions of strict partitions and twisted Fock spaces

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