no. 2
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.

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).

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).

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://www.numdam.org/articles/10.1016/j.crma.2017.01.008/

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