Correlation functions of strict partitions and twisted Fock spaces

Details Correlation functions of strict partitions and twisted Fock spaces Correlation functions of strict partitions and twisted Fock spaces

2003-03-20

arxiv.org/abs/math/0303259v2

Transformation Groups, vol 9 (2004), 89--101.

Mathematics

Quantum Algebra

latex, minor corrections, to appear in Transformation Groups

Scientific paper

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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