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Summary: INVARIANT THEORY OF MATRICES
Helmer Aslaksen: Eng-Chye Tan and Chen-bo Zhu ;,.
Department of Mathematics
National University of Singapore
Singapore 0511
Republic of Singapore
e-mail: mathelmr(mattanec.matzhucb)Qnus.sg
INTRODUCTION
Let F be a field of characteristic 0, let M(n, m) = M(n, m, F) denote the set of n x m
matrices over F and let W = W(n, m, F) be the vector space of m-tuples of n x n
matrices over F. Let V C W be a vector space on which a group G C GL(n, F) acts
by simultaneous conjugation. We will denote the polynomial functions on V by P(V)
and the G invariants by P(V)G.
We will first consider affine invariants, i.e., invariants under the general linear group.
Expressions of the form tr A2B 2
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