4. Sequence of iterated kernels. Young's tables

Let λ be an eigenvalue of A. By replacing A in the following by A – λI, we can assume that λ is zero. For the eigenvalue λ = 0, we'll consider an increasing sequence of vector subspaces, and from there we'll associate λ = 0 with a Young table, denoted TY(A,λ).

4.1 A sequel that runs out of steam

The growing sequence ${0} \subset Ker A \subset Ker A^{2} \subset - \subset Ker A^{k}$

is a sequence that...

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Sequence of iterated kernels. Young's tables

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References

(1) - ADKINS (A.), WEINTRAUB (S.) - Algebra. An Introduction via module Theory, - Springer 1992. ISBN 0-387-97839-9.
(2) - CHAMBADAL (L.), OVAERT (J.-L.) - Algèbre linéaire et algèbre tensorielle - , Dunod 1968.
(3)...

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