Invariant Theory of Matrices

Helmer Aslaksen (), Eng-Chye Tan () and Chen-bo Zhu ()
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Helmer Aslaksen: National University of Singapore, Department of Mathematics
Eng-Chye Tan: National University of Singapore, Department of Mathematics
Chen-bo Zhu: National University of Singapore, Department of Mathematics

A chapter in Symmetries in Science VIII, 1995, pp 13-19 from Springer

Abstract: Abstract 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 ⊂ W be a vector space on which a group G ⊂ 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 .

Date: 1995
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DOI: 10.1007/978-1-4615-1915-7_2

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