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On the various realizations of the basic representation of \(A_{n-1}^{(1)}\) and the combinatorics of partitions

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Publication:1610683
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DOI10.1023/A:1011985828993zbMath1098.17501MaRDI QIDQ1610683

Séverine Leidwanger

Publication date: 20 August 2002

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)



Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)




Cites Work

  • Realization of the basic representations of the Euclidean Lie algebras
  • Basic representations of affine Lie algebras and dual resonance models
  • Bosonic and fermionic realizations of the affine algebra \(\widehat {gl_ n}\)
  • Basic representations of \(A_{n-1}^{(1)}\) and \(A_{2n}^{(2)}\) and the combinatorics of partitions
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