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Matrix invariants and complete intersections

Published online by Cambridge University Press:  18 May 2009

Lieven le Bruyn  and
Yasuo Teranishi
Lieven le Bruyn
Affiliation:
University of AntwerpUIA-NFWO
Yasuo Teranishi
Affiliation:
University of MannheimFRG and University of Nagoya, Japan
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Consider the vector space of m-tuples of n by n matrices

.

The linear group GLn(C) acts on Xm, n by simultaneous conjugation. The corresponding ring of polynomial invariants

will be denoted by C(n, m) and is called the ring of matrix invariants of m-tuples of n by n matrices. C. Procesi has shown in [8] that C(n, m) is generated by traces of products of the corresponding generic matrices and, as such, coincides with the center of the trace ring of m generic n by n matrices R (n, m) which is also the ring of equivariant maps from Xm, n to Mn(ℂ).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 32 , Issue 2 , May 1990 , pp. 227 - 229
Copyright
Copyright © Glasgow Mathematical Journal Trust 1990

References

REFERENCES

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