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A Central Polynomial of Low Degree for 4×4 Matrices

✍ Scribed by V. Drensky; G.M.P. Cattaneo

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
356 KB
Volume
168
Category
Article
ISSN
0021-8693

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✦ Synopsis

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 obtained by explicitly exhibiting an essentially weak polynomial identity of degree 9 for (4 \times 4) matrices. 1994 Academic Press. Inc

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