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The ring of invariants of matrices

Published online by Cambridge University Press:  22 January 2016

Yasuo Teranishi
Yasuo Teranishi*
Affiliation:
Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ka, Nagoya, 464, Japan
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We denote by M(n) the space of all n × n-matrices with their coefficients in the complex number field C and by G the group of invertible matrices GL(n, C). Let W = M(n)i be the vector space of l-tuples of n × ra-matrices. We denote by ρ: G → GL(W) a rational representation of G defined as follows:

if S ∈ G, A(i) ∈ M(n) (i = 1, 2, …, l).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 104 , December 1986 , pp. 149 - 161
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1986

References

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