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On eigenvectors of nilpotent Lie algebras of linear operators

Morris W. Hirsch·Joel W. Robbin
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Abstract

We give a condition ensuring that the operators in a nilpotent Lie algebra of linear operators on a finite dimensional vector space have a common eigenvector.

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Morris W. Hirsch, Joel W. Robbin. 2006-02-06. On eigenvectors of nilpotent Lie algebras of linear operators. https://arxiv.org/abs/math/0602106

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