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

Katedra Matematyki (RMS/RMS1)

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

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

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.

Język oryginału	angielski
Strony (od–do)	467-473
Liczba stron	7
Czasopismo	Proceedings of the American Mathematical Society
Tom	151
Numer wydania	2
Identyfikatory DOI	https://doi.org/10.1090/proc/16162
Status publikacji	Opublikowano - 1 lut 2023

Obszary tematyczne ASJC Scopus

Matematyka ogólna
Matematyka stosowana

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10.1090/proc/16162

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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",

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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

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DO - 10.1090/proc/16162

M3 - Article

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

Abstrakt

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