Invariant theory of special orthogonal groups (Q1901163)
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scientific article; zbMATH DE number 812627
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant theory of special orthogonal groups |
scientific article; zbMATH DE number 812627 |
Statements
Invariant theory of special orthogonal groups (English)
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5 November 1995
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We study the action of \(SO (n)\) on \(m\)-tuples of \(n \times n\) matrices by simultaneous conjugation. We show that the polynomial invariants are generated by traces and polarized Pfaffians of skewsymmetric projections. We also discuss the same problem for other classical groups.
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orthogonal groups
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polynomial invariants
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traces
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polarized Pfaffians
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skewsymmetric projections
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