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Virasoro Algebra, Dedekind η-function and Specialized Macdonald Identities

✍ Scribed by Antun Milas

Publisher: SP Birkhäuser Verlag Boston
Year: 2004
Tongue: English
Weight: 244 KB
Volume: 9
Category: Article
ISSN: 1083-4362
DOI: 10.1007/s00031-004-7014-2

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A quantum deformation of the Virasoro algebra is defined. The Kac determinants at arbitrary levels are conjectured. We construct a bosonic realization of the quantum deformed Virasoro algebra. Singular vectors are expressed by the Macdonald symmetric functions. This is proved by constructing screeni