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The center of the ring of 4 × 4 generic matrices

✍ Scribed by Edward Formanek

Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
641 KB
Volume
62
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES

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Let F be a field and let p be a prime. The problem we study is whether the center, C p , of the division ring of p × p generic matrices is stably rational over F . Given a finite group G and a ZGlattice, we let F (M) be the quotient field of the group algebra of the abelian group M. Procesi and Form

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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