An Analog of the Feigin-Frenkel homomorphism for double loop algebras

Charles Young

doi:10.1016/j.jalgebra.2021.07.031

An Analog of the Feigin-Frenkel homomorphism for double loop algebras

Charles Young

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

3 Citations (Scopus)

86 Downloads (Pure)

Abstract

We prove the existence of a homomorphism of vertex algebras, from the vacuum Verma module over the loop algebra of an untwisted affine algebra, whose construction is analogous to that of the Feigin-Frenkel homomorphism from the vacuum Verma module at critical level over an affine algebra.

Original language	English
Number of pages	1
Journal	Journal of Algebra
Volume	558
DOIs	https://doi.org/10.1016/j.jalgebra.2021.07.031
Publication status	Published - 15 Dec 2021

Access to Document

10.1016/j.jalgebra.2021.07.031Licence: Unspecified

Accepted_Version
© 2021 Published by Elsevier Inc. This is the accepted manuscript version of an article which has been published in final form at https://doi.org/10.1016/j.jalgebra.2021.07.031
Accepted author manuscript, 644 KBLicence: CC BY-NC-ND

Cite this

@article{0714eed4e4744e34ae80138b2e9b6b99,

title = "An Analog of the Feigin-Frenkel homomorphism for double loop algebras",

abstract = "We prove the existence of a homomorphism of vertex algebras, from the vacuum Verma module over the loop algebra of an untwisted affine algebra, whose construction is analogous to that of the Feigin-Frenkel homomorphism from the vacuum Verma module at critical level over an affine algebra.",

author = "Charles Young",

note = "{\textcopyright} 2021 Published by Elsevier Inc. This is the accepted manuscript version of an article which has been published in final form at https://doi.org/10.1016/j.jalgebra.2021.07.031",

year = "2021",

month = dec,

day = "15",

doi = "10.1016/j.jalgebra.2021.07.031",

language = "English",

volume = "558",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - An Analog of the Feigin-Frenkel homomorphism for double loop algebras

AU - Young, Charles

PY - 2021/12/15

Y1 - 2021/12/15

N2 - We prove the existence of a homomorphism of vertex algebras, from the vacuum Verma module over the loop algebra of an untwisted affine algebra, whose construction is analogous to that of the Feigin-Frenkel homomorphism from the vacuum Verma module at critical level over an affine algebra.

AB - We prove the existence of a homomorphism of vertex algebras, from the vacuum Verma module over the loop algebra of an untwisted affine algebra, whose construction is analogous to that of the Feigin-Frenkel homomorphism from the vacuum Verma module at critical level over an affine algebra.

U2 - 10.1016/j.jalgebra.2021.07.031

DO - 10.1016/j.jalgebra.2021.07.031

M3 - Article

SN - 0021-8693

VL - 558

JO - Journal of Algebra

JF - Journal of Algebra

ER -

An Analog of the Feigin-Frenkel homomorphism for double loop algebras

Abstract

Access to Document

Fingerprint

Cite this