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A Combinatorial Overview of the Hopf Algebra of MacMahon Symmetric Functions

โœ Scribed by Mercedes H. Rosas; Gian-Carlo Rota; Joel Stein

Publisher
Springer
Year
2002
Tongue
English
Weight
114 KB
Volume
6
Category
Article
ISSN
0218-0006

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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