Annihilating Fields of Standard Modules of Sl(2, C) and Combinatorial Identities - Couverture rigide

Meurman, Arne; Primc, Mirko

Couverture rigide

ISBN 10 : 0821809237 ISBN 13 : 9780821809235

Editeur : American Mathematical Society, 1999

Synopsis

In this volume, the authors show that a set of local admissible fields generates a vertex algebra. For an affine Lie algebra $\tilde{\mathfrak g}$, they construct the corresponding level $k$ vertex operator algebra and show that level $k$ highest weight $\tilde{\mathfrak g}$-modules are modules for this vertex operator algebra. They determine the set of annihilating fields of level $k$ standard modules and study the corresponding loop $\tilde{\mathfrak g}$-module - the set of relations that defines standard modules. In the case when $\tilde{\mathfrak g}$ is of type $A^{(1)}_1$, they construct bases of standard modules parameterized by colored partitions, and as a consequence, obtain a series of Rogers-Ramanujan type combinatorial identities.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1999
• Langue: anglais
• ISBN 10: 0821809237
• ISBN 13: 9780821809235
• Reliure: Relié
• Nombre de pages: 137
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible