The Bloch-Okounkov correlation functions of negative levels

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dc.creatorCheng, Shun-Jen
dc.creatorTaylor, David G.
dc.creatorWang, Weiqiang
dc.date2007-06-26
dc.date.accessioned2026-07-07T08:51:28Z
dc.date.available2026-07-07T08:51:28Z
dc.descriptionBloch and Okounkov introduced an $n$-point correlation function on the fermionic Fock space and found a closed formula in terms of theta functions. This function affords several distinguished interpretations and in particular can be formulated as correlation functions on irreducible $\hat{gl}_\infty$-modules of level one. These correlation functions have been generalized for irreducible integrable modules of $\hat{gl}_\infty$ and its classical Lie subalgebras of positive levels by the authors. In this paper we extend further these results and compute the correlation functions as well as the $q$-dimensions for modules of $\hat{gl}_\infty$ and its classical subalgebras at negative levels.
dc.descriptionLaTeX, 34 pages, to appear in Journal of Algebra
dc.identifierhttps://arxiv.org/abs/0706.3742
dc.identifierhttp://arxiv.org/abs/0706.3742
dc.identifierJ. Algebra 319 (2008), 457--490.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144949
dc.subjectRepresentation Theory
dc.titleThe Bloch-Okounkov correlation functions of negative levels
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