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THE GRÖBNER–SHIRSHOV BASES METHOD FOR VERTEX ALGEBRAS. / Kozlov, R. A.; Kolesnikov, P. S.

In: Journal of Mathematical Sciences (United States), Vol. 296, No. 2, 18.02.2026, p. 217-230.

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

Harvard

Kozlov, RA & Kolesnikov, PS 2026, 'THE GRÖBNER–SHIRSHOV BASES METHOD FOR VERTEX ALGEBRAS', Journal of Mathematical Sciences (United States), vol. 296, no. 2, pp. 217-230. https://doi.org/10.1007/s10958-026-08246-0

APA

Kozlov, R. A., & Kolesnikov, P. S. (2026). THE GRÖBNER–SHIRSHOV BASES METHOD FOR VERTEX ALGEBRAS. Journal of Mathematical Sciences (United States), 296(2), 217-230. https://doi.org/10.1007/s10958-026-08246-0

Vancouver

Kozlov RA, Kolesnikov PS. THE GRÖBNER–SHIRSHOV BASES METHOD FOR VERTEX ALGEBRAS. Journal of Mathematical Sciences (United States). 2026 Feb 18;296(2):217-230. doi: 10.1007/s10958-026-08246-0

Author

Kozlov, R. A. ; Kolesnikov, P. S. / THE GRÖBNER–SHIRSHOV BASES METHOD FOR VERTEX ALGEBRAS. In: Journal of Mathematical Sciences (United States). 2026 ; Vol. 296, No. 2. pp. 217-230.

BibTeX

@article{a4c9f96b4d8d4b758a2260d2195553bb,
title = "THE GR{\"O}BNER–SHIRSHOV BASES METHOD FOR VERTEX ALGEBRAS",
abstract = "In the paper, we show how to apply the Gr{\"o}bner–Shirshov bases method for modules over an associative algebra to the study of vertex algebras defined by generators and relations. We compute Gr{\"o}bner–Shirshov bases for a series of vertex algebras and study the problem of embedding of a left-symmetric algebra into a vertex one preserving the normally ordered product.",
author = "Kozlov, {R. A.} and Kolesnikov, {P. S.}",
note = "Kozlov, R. A. The Gr{\"o}bner–Shirshov bases method for vertex algebras / R. A. Kozlov, P. S. Kolesnikov // Journal of Mathematical Sciences. – 2026. – Vol. 296, No. 2. – P. 217-230. – DOI 10.1007/s10958-026-08246-0. – EDN OSZXII. The work was supported by the Russian Science Foundation (project 21-11-00286)",
year = "2026",
month = feb,
day = "18",
doi = "10.1007/s10958-026-08246-0",
language = "English",
volume = "296",
pages = "217--230",
journal = "Journal of Mathematical Sciences (United States)",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - THE GRÖBNER–SHIRSHOV BASES METHOD FOR VERTEX ALGEBRAS

AU - Kozlov, R. A.

AU - Kolesnikov, P. S.

N1 - Kozlov, R. A. The Gröbner–Shirshov bases method for vertex algebras / R. A. Kozlov, P. S. Kolesnikov // Journal of Mathematical Sciences. – 2026. – Vol. 296, No. 2. – P. 217-230. – DOI 10.1007/s10958-026-08246-0. – EDN OSZXII. The work was supported by the Russian Science Foundation (project 21-11-00286)

PY - 2026/2/18

Y1 - 2026/2/18

N2 - In the paper, we show how to apply the Gröbner–Shirshov bases method for modules over an associative algebra to the study of vertex algebras defined by generators and relations. We compute Gröbner–Shirshov bases for a series of vertex algebras and study the problem of embedding of a left-symmetric algebra into a vertex one preserving the normally ordered product.

AB - In the paper, we show how to apply the Gröbner–Shirshov bases method for modules over an associative algebra to the study of vertex algebras defined by generators and relations. We compute Gröbner–Shirshov bases for a series of vertex algebras and study the problem of embedding of a left-symmetric algebra into a vertex one preserving the normally ordered product.

UR - https://www.mendeley.com/catalogue/dd72daff-1a44-3f2a-bcf0-2fcc80f38b97/

UR - https://www.scopus.com/pages/publications/105030506157

UR - https://www.elibrary.ru/item.asp?id=91128297

U2 - 10.1007/s10958-026-08246-0

DO - 10.1007/s10958-026-08246-0

M3 - Article

VL - 296

SP - 217

EP - 230

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 2

ER -

ID: 85075039