Commuting Elements in the First Weyl Algebra over Q

A. F. Gundareva

doi:10.1134/S003744662205007X

Commuting Elements in the First Weyl Algebra over Q

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

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.

Original language	English
Pages (from-to)	883-893
Number of pages	11
Journal	Siberian Mathematical Journal
Volume	63
Issue number	5
DOIs	https://doi.org/10.1134/S003744662205007X
Publication status	Published - Sep 2022

Keywords

517
automorphism
commuting differential operator
elliptic spectral curve
first Weyl algebra
polynomial coefficients over Q

OECD FOS+WOS

1.01 MATHEMATICS

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10.1134/S003744662205007X

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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",

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pages = "883--893",

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T1 - Commuting Elements in the First Weyl Algebra over Q

AU - Gundareva, A. F.

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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

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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 -

Commuting Elements in the First Weyl Algebra over Q

Abstract

Keywords

OECD FOS+WOS

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