IDEALS OF GENERAL LINEAR LIE ALGEBRAS OF INFINITE-DIMENSIONAL VECTOR SPACES

Oksana Bezushchak; Waldemar Hołubowski; Bogdana Oliynyk

doi:10.1090/proc/16162

IDEALS OF GENERAL LINEAR LIE ALGEBRAS OF INFINITE-DIMENSIONAL VECTOR SPACES

Department of Mathematics (RMS/RMS1)

Kyiv National Taras Shevchenko University
National University of Kyiv Mohyla-Academy

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

1 Citation (Scopus)

Abstract

Let V be an infinite-dimensional vector space over a field of characteristic not equal to 2. We classify ideals of the Lie algebra gl(V ) of all linear transformations of the space V.

Original language	English
Pages (from-to)	467-473
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	151
Issue number	2
DOIs	https://doi.org/10.1090/proc/16162
Publication status	Published - 1 Feb 2023

Keywords

General linear Lie algebra
ideal
infinite-dimensional vector space
linear transformation

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/proc/16162

Cite this

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title = "IDEALS OF GENERAL LINEAR LIE ALGEBRAS OF INFINITE-DIMENSIONAL VECTOR SPACES",

abstract = "Let V be an infinite-dimensional vector space over a field of characteristic not equal to 2. We classify ideals of the Lie algebra gl(V ) of all linear transformations of the space V.",

keywords = "General linear Lie algebra, ideal, infinite-dimensional vector space, linear transformation",

author = "Oksana Bezushchak and Waldemar Ho{\l}ubowski and Bogdana Oliynyk",

note = "Publisher Copyright: {\textcopyright} 2022 American Mathematical Society.",

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day = "1",

doi = "10.1090/proc/16162",

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AU - Bezushchak, Oksana

AU - Hołubowski, Waldemar

AU - Oliynyk, Bogdana

PY - 2023/2/1

Y1 - 2023/2/1

N2 - Let V be an infinite-dimensional vector space over a field of characteristic not equal to 2. We classify ideals of the Lie algebra gl(V ) of all linear transformations of the space V.

AB - Let V be an infinite-dimensional vector space over a field of characteristic not equal to 2. We classify ideals of the Lie algebra gl(V ) of all linear transformations of the space V.

KW - General linear Lie algebra

KW - ideal

KW - infinite-dimensional vector space

KW - linear transformation

UR - https://www.scopus.com/pages/publications/85144372745

U2 - 10.1090/proc/16162

DO - 10.1090/proc/16162

M3 - Article

AN - SCOPUS:85144372745

SN - 0002-9939

VL - 151

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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ER -

IDEALS OF GENERAL LINEAR LIE ALGEBRAS OF INFINITE-DIMENSIONAL VECTOR SPACES

Abstract

Keywords

ASJC Scopus subject areas

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