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On the number of invariant polynomials of matrix commutators

✍ Scribed by Enide Andrade Martins; Fernando C. Silva

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
534 KB
Volume
262
Category
Article
ISSN
0024-3795

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✦ Synopsis

We study the possible numbers of noneonstant invariant polynomials of the matrix commutator XA -AX, when X varies.

πŸ“œ SIMILAR VOLUMES

The number of invariant polynomials of a
The number of invariant polynomials of a matrix with prescribed off-diagonal blocks
✍ Maria da GraΓ§a Marques πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 323 KB

Let A be an n Γ— n matrix over an arbitrary field F of the form AI, 1 AI, z] A = A2.1 A2,2 J, where A1, 1 ~ F pΓ—p, A2. 2 ~ F qΓ—q, and p + q = n. We characterize the possible nmnber of nontrivial invariant polynomials of A, when the submatrices A L 2 and A2, 1 are prescribed.