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Annihilating Fields of Standard Modules of SI(2, C) and Combinatorial Identities

Annihilating Fields of Standard Modules of SI(2, C) and Combinatorial Identities( )
Author: Meurman, Arne
Primc, Mirko
Series title:Memoirs of the American Mathematical Society Ser.
ISBN:978-0-8218-0923-5
Publication Date:Jan 1999
Publisher:American Mathematical Society
Book Format:Paperback
List Price:AUD $74.00
Book Description:

Aims to show that a set of local admissible fields generates a vertex algebra. For an affine Lie algebra $\tilde{{\mathfrak g}}$, this work constructs the corresponding level $k$ vertex operator algebra and shows that level $k$ highest weight $\tilde{{\mathfrak g}}$-modules are modules for this vertex operator algebra.

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