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AN EXTENSION OF THE CLASSICAL GAUSS SERIES-PRODUCT IDENTITY BY BOSON–FERMIONIC REALIZATION OF THE AFFINE ALGEBRA $\widehat{\mathfrak{gl}}_n$

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Publication:5305536
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DOI10.1142/S0219498810003793zbMath1211.17022MaRDI QIDQ5305536

Tomislav Šikić

Publication date: 22 March 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)


zbMATH Keywords

affine Lie algebrasseries-product identitiesclassical Gauss identity


Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)





Cites Work

  • Infinite-dimensional Lie algebras, theta functions and modular forms
  • Bosonic and fermionic realizations of the affine algebra \(\widehat {gl_ n}\)
  • The Weyl-Kac character formula and power series identities
  • Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
  • ℤ-Gradations of Classical Affine Lie Algebras and Kac Parameters
  • A RECURRENCE RELATION FOR CHARACTERS OF HIGHEST WEIGHT INTEGRABLE MODULES FOR AFFINE LIE ALGEBRAS




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