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A generalized Cayley-Hamilton theorem - MaRDI portal

A generalized Cayley-Hamilton theorem (Q2427932)

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A generalized Cayley-Hamilton theorem
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    A generalized Cayley-Hamilton theorem (English)
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    19 April 2012
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    The authors give an essential generalization of the classical Cayley-Hamilton theorem and some recent generalizations of this theorem. For example, it is proved under some conditions, that if one value of a matrix-valued function is nilpotent, then all its values are also nilpotent.
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    nilpotent matrix
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    Cayley-Hamilton theorem
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    general linear Lie algebra
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    solvable Lie subalgebra
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