✦ LIBER ✦

Sets with a Prescribed Number of Power Invariants

✍ Scribed by V. V. Makeev

Book ID: 110336014
Publisher: Springer US
Year: 2002
Tongue: English
Weight: 185 KB
Volume: 110
Category: Article
ISSN: 1573-8795
DOI: 10.1023/a:1015342026880

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Let A be an n × n matrix over an arbitrary field F of the form AI, 1 AI, z] A = A2.1 A2,2 J, where A1, 1 ~ F p×p, A2. 2 ~ F q×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.