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On the Degree of Mixed Polynomial Matrices

โœ Scribed by Murota, Kazuo

Book ID
118216197
Publisher
Society for Industrial and Applied Mathematics
Year
1998
Tongue
English
Weight
562 KB
Volume
20
Category
Article
ISSN
0895-4798

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A Central Polynomial of Low Degree for 4
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โœ V. Drensky; G.M.P. Cattaneo ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 356 KB

We have found a central polynomial of degree 13 for the \(4 \times 4\) matrix algebra over a field of characteristic 0 . This result agrees with the conjecture that the minimal degree of such polynomials for \(n \times n\) matrices is \(\left(n^{2}+3 n-2\right) / 2\). The polynomial has been obtaine