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Commutative vertex algebras and their degenerations

Authors :
Boris Feigin
Source :
Functional Analysis and Its Applications. 48:175-182
Publication Year :
2014
Publisher :
Springer Science and Business Media LLC, 2014.

Abstract

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.

Subjects

Subjects :
Vertex (graph theory)
Applied Mathematics
Non-associative algebra
Combinatorics
Quadratic algebra
Cayley–Dickson construction
Interior algebra
Quadratic equation
Mathematics::Quantum Algebra
Nest algebra
Mathematics::Representation Theory
Commutative property
Analysis
Mathematics

Details

ISSN :
15738485 and 00162663
Volume :
48
Database :
OpenAIRE
Journal :
Functional Analysis and Its Applications
Accession number :
edsair.doi...........fe3ee4f0e1ea56416596527cbdeca627

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