Macdonald Identities, Weyl-Kac Denominator Formulas and Affine Grassmannian Elements

The Nekrasov-Okounkov formula gives an expression for the Fourier coefficients of the Euler functions as a sum of hook length products. This formula can be deduced from a specialization in a renormalization of the affine type Weyl denominator formula and the use of a polynomial argument. In this pa...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Authors: Lecouvey, Cédric, Wahiche, David
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/213190
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Macdonald Identities, Weyl-Kac Denominator Formulas and Affine Grassmannian Elements. Cédric Lecouvey and David Wahiche. SIGMA 21 (2025), 023, 45 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine