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Comptes Rendus Mathématique
Volume 355, n° 2
pages 128-132 (février 2017)
Doi : 10.1016/j.crma.2017.01.008
Received : 16 January 2017 ;  accepted : 17 January 2017
A remark on boundary level admissible representations
Une remarque sur les représentations admissibles de niveau limite
 

Victor G. Kac , Minoru Wakimoto
 Department of Mathematics, M.I.T., Cambridge, MA 02139, USA 

Abstract

We point out that it is immediate by our character formula that in the case of a boundary level the characters of admissible representations of affine Kac–Moody algebras and the corresponding W -algebras decompose in products in terms of the Jacobi form  .

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Résumé

Nous remarquons la conséquence suivante de notre formule de caractères. Pour un niveau limite, les caractères d'une représentation admissible d'une algèbre de Kac–Moody affine ainsi que de la W -algèbre correspondante s'expriment comme des produits de formes de Jacobi  .

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