Vertex-algebraic structure of principal subspaces of basic D4(3)-modules

We obtain a presentation of the principal subspace of the basic D 4 ( 3 ) -module. We use this presentation to construct exact sequences involving this principal subspace, and obtain a recursion satisfied by its multigraded dimension. Solving this recursion, we obtain the multigraded dimension of th...

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Bibliographic Details
Published in:The Ramanujan journal 2017-08, Vol.43 (3), p.571-617
Main Authors: Penn, Michael, Sadowski, Christopher
Format: Article
Language:English
Subjects:
Combinatorics
Field Theory and Polynomials
Fourier Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
Number Theory
Online Access:Get full text
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Description
Summary:We obtain a presentation of the principal subspace of the basic D 4 ( 3 ) -module. We use this presentation to construct exact sequences involving this principal subspace, and obtain a recursion satisfied by its multigraded dimension. Solving this recursion, we obtain the multigraded dimension of the principal subspace of the basic D 4 ( 3 ) -module.
ISSN:1382-4090
1572-9303
DOI:10.1007/s11139-016-9806-0