On some property of an irreducible subalgebra of the general linear Lie algebra gl(n,R)
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A subalgebrag ofgl(n, R) which admits no proper invariant subspace in Rn and contains a subalgebra of a special kind is studied. It is concluded that only four cases are possible if n is even, and only two if n is odd.
KeywordsSpecial Kind Invariant Subspace Proper Invariant Subspace Irreducible Subalgebra
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