Commutative vertex algebras and their degenerations

B. L. Feigin

doi:10.1007/s10688-014-0059-7

Commutative vertex algebras and their degenerations

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

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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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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doi = "10.1007/s10688-014-0059-7",

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AU - Feigin, B. L.

PY - 2014/9/1

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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

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U2 - 10.1007/s10688-014-0059-7

DO - 10.1007/s10688-014-0059-7

M3 - مقالة

SN - 0016-2663

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

All Science Journal Classification (ASJC) codes

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