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^*

^*Corresponding author for this work

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

Bibliographical note

Publisher Copyright:
© 2014, Springer Science+Business Media New York.

Keywords

Abelianization
quadratic algebras
vertex algebras

Access to Document

10.1007/s10688-014-0059-7

Cite this

@article{8dad381328714838887aadb1639c4aaf,

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.}",

note = "Publisher Copyright: {\textcopyright} 2014, Springer Science+Business Media New York.",

year = "2014",

month = sep,

day = "1",

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

language = "אנגלית",

volume = "48",

pages = "175--182",

journal = "Functional Analysis and its Applications",

issn = "0016-2663",

publisher = "Springer",

number = "3",

}

TY - JOUR

T1 - Commutative vertex algebras and their degenerations

AU - Feigin, B. L.

PY - 2014/9/1

Y1 - 2014/9/1

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 - http://www.scopus.com/inward/record.url?scp=84908056617&partnerID=8YFLogxK

U2 - 10.1007/s10688-014-0059-7

DO - 10.1007/s10688-014-0059-7

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84908056617

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

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this