Lie algebras whose lattice of ideals is closely related with a subspace lattice
作者:
M.P. Benito,
期刊:
Communications in Algebra
(Taylor Available online 1994)
卷期:
Volume 22,
issue 7
页码: 2529-2545
ISSN:0092-7872
年代: 1994
DOI:10.1080/00927879408824975
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
Relationships between the structure of a Lie algebra and that of its lattice of ideals is studied for those Lie algebras whose ideal lattice is very close to that of an almost-abelian Lie algebra. It is shown here that if the base field is algebraically closed, finite or the real one, for any n ≥3 the only solvable Lie algebra whose lattice of ideals is isomorphic to that of the (n+l)-dimensional almost-abelian Lie algebra is itself.
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