Commutative vertex algebras and their degenerations

B. L. Feigin

doi:10.1007/s10688-014-0059-7

Commutative vertex algebras and their degenerations

B. L. Feigin

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	175-182
Number of pages	8
Journal	Functional Analysis and its Applications
Volume	48
Issue number	3
DOIs	https://doi.org/10.1007/s10688-014-0059-7
State	Published - 1 Sep 2014
Externally published	Yes

Keywords

Abelianization
quadratic algebras
vertex algebras

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1007/s10688-014-0059-7

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title = "Commutative vertex algebras and their degenerations",

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.",

keywords = "Abelianization, quadratic algebras, vertex algebras",

author = "Feigin, \{B. L.\}",

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year = "2014",

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N2 - 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.

AB - 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.

KW - Abelianization

KW - quadratic algebras

KW - vertex algebras

UR - https://www.scopus.com/pages/publications/84908056617

U2 - 10.1007/s10688-014-0059-7

DO - 10.1007/s10688-014-0059-7

M3 - Article

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VL - 48

SP - 175

EP - 182

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

IS - 3

ER -

Commutative vertex algebras and their degenerations

Abstract

Keywords

ASJC Scopus subject areas

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