A remark on boundary level admissible representations

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 v(11)(tau, z).

Bibliographic Details
Main Authors: Wakimoto, Minoru, Kac, Victor
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Elsevier 2018
Online Access:http://hdl.handle.net/1721.1/115821
https://orcid.org/0000-0002-2860-7811
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author Wakimoto, Minoru
Kac, Victor
author2 Massachusetts Institute of Technology. Department of Mathematics
author_facet Massachusetts Institute of Technology. Department of Mathematics
Wakimoto, Minoru
Kac, Victor
author_sort Wakimoto, Minoru
collection MIT
description 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 v(11)(tau, z).
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spelling mit-1721.1/1158212024-07-17T20:04:24Z A remark on boundary level admissible representations Wakimoto, Minoru Kac, Victor Massachusetts Institute of Technology. Department of Mathematics Kac, Victor 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 v(11)(tau, z). 2018-05-23T17:21:41Z 2018-05-23T17:21:41Z 2017-02 2017-01 2018-05-23T15:23:45Z Article http://purl.org/eprint/type/JournalArticle 1631-073X http://hdl.handle.net/1721.1/115821 Kac, Victor G. and Minoru Wakimoto. “A Remark on Boundary Level Admissible Representations.” Comptes Rendus Mathematique 355, 2 (February 2017): 128–132 © 2017 Published by Elsevier Masson SAS on behalf of Academie des sciences. https://orcid.org/0000-0002-2860-7811 http://dx.doi.org/10.1016/J.CRMA.2017.01.008 Comptes Rendus Mathematique Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier arXiv
spellingShingle Wakimoto, Minoru
Kac, Victor
A remark on boundary level admissible representations
title A remark on boundary level admissible representations
title_full A remark on boundary level admissible representations
title_fullStr A remark on boundary level admissible representations
title_full_unstemmed A remark on boundary level admissible representations
title_short A remark on boundary level admissible representations
title_sort remark on boundary level admissible representations
url http://hdl.handle.net/1721.1/115821
https://orcid.org/0000-0002-2860-7811
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