Commutative vertex algebras and their degenerations

Commutative vertex algebras arising as subalgebras of the vertex algebras corresponding to the Kac-Moody algebras are studied. Systems of defining relations and degenerations into algebras with quadratic relations are described. The results can be used to obtain fermionic formulas for characters.

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Bibliographic Details
Published in:Functional analysis and its applications 2014-09, Vol.48 (3), p.175-182
Main Author: Feigin, B. L.
Format: Article
Language:English
Subjects:
Analysis
Functional Analysis
Mathematics
Mathematics and Statistics
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Description
Summary:Commutative vertex algebras arising as subalgebras of the vertex algebras corresponding to the Kac-Moody algebras are studied. Systems of defining relations and degenerations into algebras with quadratic relations are described. The results can be used to obtain fermionic formulas for characters.
ISSN:0016-2663
1573-8485
DOI:10.1007/s10688-014-0059-7