Invariant theory and reversible-equivariant vector fields (Q1004469)
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scientific article; zbMATH DE number 5527487
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant theory and reversible-equivariant vector fields |
scientific article; zbMATH DE number 5527487 |
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Invariant theory and reversible-equivariant vector fields (English)
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10 March 2009
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Results for the systematic study of reversible-equivalent vector fields are presented -- namely, in the simultaneous presence of symmetries and reversing symmetries -- by employing algebraic techniques from invariant theory for compact Lie groups. Formulae are introduced for the computation of dimensions of spaces of homogeneous anti-invariant polynomial functions and reversible-equivariant polynomial mapping. A symbolic algorithm is obtained for the computation of generators for the module of reversible-equivariant polynomial mapping over the ring of invariant polynomials.
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