Hostname: page-component-745bb68f8f-hvd4g Total loading time: 0 Render date: 2025-01-11T12:29:39.299Z Has data issue: false hasContentIssue false
  • English
  • Français

Explicit descriptions of trace rings of generic 2 by 2 matrices

Published online by Cambridge University Press:  22 January 2016

Yasuo Teranishi
Yasuo Teranishi*
Affiliation:
Department of Mathematics, School of Science, Nagoya University, Chikusaku, Nagoya 464-01, Japan
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let K be a field of characteristic zero and let

be m generic n by n matrices over K. That is, xij(k) are independent commuting indeterminates over K. The K-subalgebra generated by X1…, Xm is called a ring of n by n generic matrices and is denoted by R(n, m).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 121 , March 1991 , pp. 149 - 159
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1991

References

[1] Bruyn, L. Le, Trace rings of generic 2 by 2 matrices, Mem. Amer. Math. Soc, 363 (1987).Google Scholar
[2] Bruyn, L. Le and Bergh, M. Van den, An explicit description of T3,2 , Lecture Notes in Math., 1197, Springer, (1986), 109–113.Google Scholar
[3] Formanek, E., Invariants and the ring of generic matrices, J. Algebra, 89 (1984), 178–223.Google Scholar
[4] Teranishi, Y., The Hilbert series of rings of matrix concomitants, Nagoya Math. J., 111 (1988), 143–156.Google Scholar
[5] Procesi, C., Computing with 2 by 2 matrices, J. Algebra, 87 (1984), 342–359.CrossRefGoogle Scholar
[6] Hodge, W. and Pedoe, D., Methods of Algebraic Geometry, vol 2, Cambridge, 1968.Google Scholar
[7] Garsia, A., Combinatorial methods in the theory of Cohen-Macaulay rings, Adv. in Math., 38 (1980), 229–266.CrossRefGoogle Scholar