Intersections of maximal subalgebras in Lie algebras (Q1085258)
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scientific article; zbMATH DE number 3981390
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Intersections of maximal subalgebras in Lie algebras |
scientific article; zbMATH DE number 3981390 |
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Intersections of maximal subalgebras in Lie algebras (English)
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1987
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An element A of a lattice with 1 is called a coatom if 1 covers A. A lattice is called coatomistic if each of its elements is an intersection of a set of coatoms. The main result is: Theorem. A finite-dimensional Lie algebra L over a field of characteristic 0 has a coatomistic subalgebra lattice if and only if L is abelian or almost abelian or three-dimensional simple non-split.
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coatom
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finite-dimensional Lie algebra
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coatomistic subalgebra lattice
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abelian
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almost abelian
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three-dimensional simple non-split
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0.96768534
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0.9531743
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0.92841125
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0.9280684
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0.91732883
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0.9131243
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