Commuting Elements in the First Weyl Algebra over Q

Standard

Commuting Elements in the First Weyl Algebra over Q. / Gundareva, A. F.

In: Siberian Mathematical Journal, Vol. 63, No. 5, 09.2022, p. 883-893.

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

Harvard

Gundareva, AF 2022, 'Commuting Elements in the First Weyl Algebra over Q', Siberian Mathematical Journal, vol. 63, no. 5, pp. 883-893. https://doi.org/10.1134/S003744662205007X

APA

Gundareva, A. F. (2022). Commuting Elements in the First Weyl Algebra over Q. Siberian Mathematical Journal, 63(5), 883-893. https://doi.org/10.1134/S003744662205007X

Vancouver

Gundareva AF. Commuting Elements in the First Weyl Algebra over Q. Siberian Mathematical Journal. 2022 Sept;63(5):883-893. doi: 10.1134/S003744662205007X

Author

Gundareva, A. F. / Commuting Elements in the First Weyl Algebra over Q. In: Siberian Mathematical Journal. 2022 ; Vol. 63, No. 5. pp. 883-893.

BibTeX

@article{c3bb0025d305449bb31546c40183fd03,

title = "Commuting Elements in the First Weyl Algebra over Q",

abstract = "The automorphism group of the first Weyl algebra over Q acts on the commuting differential operatorswith polynomial coefficients over Q .We show that the orbit set is infinitefor a fixed elliptic spectral curve over Q with at least one rational point.",

keywords = "517, automorphism, commuting differential operator, elliptic spectral curve, first Weyl algebra, polynomial coefficients over Q",

author = "Gundareva, {A. F.}",

note = "Funding Information: The author was supported by the Russian Science Foundation (Grant no. 21–41–00018). Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",

year = "2022",

month = sep,

doi = "10.1134/S003744662205007X",

language = "English",

volume = "63",

pages = "883--893",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",

number = "5",

}

RIS

TY - JOUR

T1 - Commuting Elements in the First Weyl Algebra over Q

AU - Gundareva, A. F.

PY - 2022/9

Y1 - 2022/9

N2 - The automorphism group of the first Weyl algebra over Q acts on the commuting differential operatorswith polynomial coefficients over Q .We show that the orbit set is infinitefor a fixed elliptic spectral curve over Q with at least one rational point.

AB - The automorphism group of the first Weyl algebra over Q acts on the commuting differential operatorswith polynomial coefficients over Q .We show that the orbit set is infinitefor a fixed elliptic spectral curve over Q with at least one rational point.

KW - 517

KW - automorphism

KW - commuting differential operator

KW - elliptic spectral curve

KW - first Weyl algebra

KW - polynomial coefficients over Q

UR - http://www.scopus.com/inward/record.url?scp=85131931748&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/343bd8da-61e0-3873-86ff-b6ae6095b6f3/

U2 - 10.1134/S003744662205007X

DO - 10.1134/S003744662205007X

M3 - Article

AN - SCOPUS:85131931748

VL - 63

SP - 883

EP - 893

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -

ID: 38165266