arXiv math/03032592003-03math.QAmath.CO

Correlation functions of strict partitions and twisted Fock spaces

Weiqiang Wang

备注：: latex, minor corrections, to appear in Transformation Groups
发表信息：: Transformation Groups, vol 9 (2004), 89--101.

英文摘要：

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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