Geodesic
Lie algebras
A remark on boundary level admissible representations
[Une remarque sur les représentations admissibles de niveau limite]

Présenté par : Michèle Vergne

Kac, Victor G.1 ; Wakimoto, Minoru1
1 Department of Mathematics, M.I.T., Cambridge, MA 02139, USA
Comptes Rendus. Mathématique, Tome 355 (2017) no. 2, pp. 128-132.

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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 ϑ11(τ,z).

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 ϑ11(τ,z).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.01.008

Kac, Victor G. 1 ; Wakimoto, Minoru 1

1 Department of Mathematics, M.I.T., Cambridge, MA 02139, USA 
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Kac, Victor G.; Wakimoto, Minoru. A remark on boundary level admissible representations. Comptes Rendus. Mathématique, Tome 355 (2017) no. 2, pp. 128-132. doi : 10.1016/j.crma.2017.01.008. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2017.01.008/

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