The index complex of a maximal subalgebra of a Lie algebra
2011 ◽
Vol 54
(2)
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pp. 531-542
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Keyword(s):
AbstractLet M be a maximal subalgebra of the Lie algebra L. A subalgebra C of L is said to be a completion for M if C is not contained in M but every proper subalgebra of C that is an ideal of L is contained in M. The set I(M) of all completions of M is called the index complex of M in L. We use this concept to investigate the influence of the maximal subalgebras on the structure of a Lie algebra, in particular, finding new characterizations of solvable and supersolvable Lie algebras.
1999 ◽
Vol 42
(3)
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pp. 521-540
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Keyword(s):
1974 ◽
Vol 11
(1)
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pp. 145-156
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2012 ◽
Vol 11
(01)
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pp. 1250001
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Keyword(s):
1983 ◽
Vol 94
(1-2)
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pp. 9-13
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1986 ◽
Vol 29
(2)
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pp. 199-220
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1985 ◽
Vol 28
(1)
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pp. 9-11
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Keyword(s):
1981 ◽
Vol 24
(3)
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pp. 217-219
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2007 ◽
Vol 5
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pp. 195-200
Keyword(s):