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  5. Nilpotent matrices. Nilpotent cone

Article | REF: AF87 V1

Reduction of endomorphisms

Author: Rached MNEIMNÉ

Publication date: April 10, 1999

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5. Nilpotent matrices. Nilpotent cone

The set of nilpotent matrices is the nilpotent cone, denoted C(n) .

5.1 Nilpotent matrices

The following characterizations are easily obtained. A matrix is said to be nilpotent if it satisfies one of the following equivalent conditions, where the bracket [X,Y ] of the matrices X and Y designates the matrix XY – YX.

a) The...

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Nilpotent matrices. Nilpotent cone
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