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Published in:
1995 | OriginalPaper | Chapter
Invariant Theory of Matrices
Authors : Helmer Aslaksen, Eng-Chye Tan, Chen-bo Zhu
Published in: Symmetries in Science VIII
Publisher: Springer US
Included in: Professional Book Archive
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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.