The Bloch–Okounkov correlation functions of negative levels
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| Title: | The Bloch–Okounkov correlation functions of negative levels |
|---|---|
| Authors: | Weiqiang Wang, Shun-Jen Cheng, David G. Taylor |
| Source: | Journal of Algebra. 319:457-490 |
| Publisher Information: | Elsevier BV, 2008. |
| Publication Year: | 2008 |
| Subject Terms: | Representations at negative levels, Algebra and Number Theory, Correlation functions, q-dimension formulas, Infinite-dimensional Lie algebras, 0101 mathematics, 01 natural sciences |
| Description: | Bloch 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 glˆ∞-modules of level one. These correlation functions have been generalized for irreducible integrable modules of glˆ∞ 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 glˆ∞ and its classical subalgebras at negative levels. |
| Document Type: | Article |
| Language: | English |
| ISSN: | 0021-8693 |
| DOI: | 10.1016/j.jalgebra.2007.06.037 |
| Access URL: | https://www.sciencedirect.com/science/article/abs/pii/S0021869307005844 https://www.sciencedirect.com/science/article/pii/S0021869307005844 https://core.ac.uk/display/82130380 https://ui.adsabs.harvard.edu/abs/2007arXiv0706.3742C/abstract |
| Rights: | Elsevier Non-Commercial |
| Accession Number: | edsair.doi.dedup.....f56fd2086982b5cc7d40d4be323ef50b |
| Database: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstract: | Bloch 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 glˆ∞-modules of level one. These correlation functions have been generalized for irreducible integrable modules of glˆ∞ 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 glˆ∞ and its classical subalgebras at negative levels. |
|---|---|
| ISSN: | 00218693 |
| DOI: | 10.1016/j.jalgebra.2007.06.037 |