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Correlation functions of strict partitions and twisted Fock spaces

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Weiqiang Wang

Quantum Algebra · Submitted 20 Mar 2003

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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.

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arXiv IDmath/0303259 (version 2)
Pith IDWSO5DK3A, Pith's permanent record of this paper and its review
CitationWeiqiang Wang. "Correlation functions of strict partitions and twisted Fock spaces." arXiv:math/0303259 (2003). https://pith.science/paper/WSO5DK3A
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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.

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s0 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. contribution 0.99 0.95 0.53 asserted 1.00
s1 We find closed formulas for the 1-point functions in both cases in terms of Jacobi theta functions. result 0.99 0.96 0.26 asserted 1.00
s2 These correlation functions afford several distinct interpretations. interpretation 0.97 0.50 0.08 asserted 0.99

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Original 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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