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Bases for diagonally alternating harmonic polynomials of low degree

✍ Scribed by Nantel Bergeron; Zhi Chen


Book ID
108167314
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
406 KB
Volume
118
Category
Article
ISSN
0097-3165

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A Central Polynomial of Low Degree for 4
✍ V. Drensky; G.M.P. Cattaneo πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 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