4.5 Article

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

Journal

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 151, Issue 2, Pages 467-473

Publisher

AMER MATHEMATICAL SOC
DOI: 10.1090/proc/16162

Keywords

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

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This passage mainly discusses the classification of ideals in the Lie algebra of all linear transformations on an infinite-dimensional vector space over a field with characteristic not equal to 2.
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.

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