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Article | REF: AF87 V1

Reduction of endomorphisms

Author: Rached MNEIMNÉ

Publication date: April 10, 1999

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8. Calculating the switch dimension

This calculation is used to compute the dimension of orbits. The method consists in finding the dimension of its commutant for a nilpotent matrix, as this is sufficient given the following lemma.

Lemma 2. If M=[A00B] is a block-diagonal matrix verifying that the characteristic polynomials of A and B are prime to each other, then the matrices that commute with M are block-diagonal, i.e. [X00Y]...

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