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Ideals of general linear Lie algebras of infinite-dimensional vector spaces

Rings and Algebras 2021-12-07 v1

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

Cite

@article{arxiv.2112.02431,
  title  = {Ideals of general linear Lie algebras of infinite-dimensional vector spaces},
  author = {Oksana Bezushchak and Waldemar Hołubowski and Bogdana Oliynyk},
  journal= {arXiv preprint arXiv:2112.02431},
  year   = {2021}
}

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9 pages