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Fock Space Realizations of Imaginary Verma Modules |
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| Authors: | Ben?L.?Cox author-information" > author-information__contact u-icon-before" > mailto:coxbl@cofc.edu" title=" coxbl@cofc.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | (1) Department of Mathematics, University of Charleston, 66 George Street, Charleston, SC, 29424, U.S.A. |
| Abstract: | This work expands to the setting of  the results of H. Jakobsen and V. Kac and independently D. Bernard and G. Felder on the realization of  , in terms of infinite sums of partial differential operators. We note in the paper that, in the generic case, these geometric constructions are just realizations of the imaginary Verma modules studied by V. Futorny.Presented by A. VerschorenMathematics Subject Classifications (2000) Primary: 17B67, 81R10. |
| Keywords: | imaginary Verma modules affine Lie algebras Fock spaces |
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