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

被引：1

作者：

Bezushchak, Oksana ^{[1
]}

Holubowski, Waldemar ^{[2
]}

Oliynyk, Bogdana ^{[2
,3
]}

机构：

[1] Taras Shevchenko Natl Univ, Fac Mech & Math, Volodymyrska 60, UA-01033 Kiev, Ukraine

[2] Silesian Tech Univ, Fac Appl Math, Kaszubska 23, PL-44100 Gliwice, Poland

[3] Natl Univ Kyiv Mohyla Acad, Dept Math, Skovorody 2, UA-04070 Kiev, Ukraine

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 02期

关键词：

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

D O I：

10.1090/proc/16162

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：467 / 473

页数：7

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