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Correlation functions of strict partitions and twisted Fock spaces

Weiqiang Wang
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Abstract

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.

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Weiqiang Wang. 2003-05-05. Correlation functions of strict partitions and twisted Fock spaces. https://arxiv.org/abs/math/0303259

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