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| Titel: |
On computing the polynomial invariants of a finite group |
| Auteur: |
Gay, David Ascher, Edgar |
| Verschenen in: |
Linear & multilinear algebra |
| Paginering: | Jaargang 18 (1985) nr. 2 pagina's 91-116 |
| Jaar: |
1985-10 |
| Inhoud: |
Let p be a real representation of a finite group G as n×n matrices and P(p)G the ring of polynomial invariants associated with p(G) One way to describe P(p)G is as a direct sum [image omitted] . Given that such a good polynomial basis is known for P(p)G. we will show how to construct good polynomial bases for other polynomial rings associated with P(p)G: P(p)Hwhere H is a subgroup of G[image omitted] where σ is another real representation of G, and [image omitted] . We will make sense of the notion of good polynomial basis for relative invariants and show how to construct the same for the representation [image omitted] is the representation gotten from ρ by twisting it by the linear representation [image omitted] . If P(ρ) is the ring of all polynomials associated with ρ(G), then those features of the structure of P(ρ) as a graded G-algebra -needed for the constructions above - will also be developed by extending classical results about the ideal in P(ρ) generated by the invariants, about G-harmonic polynomials and about polarization. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 5 van 7 gevonden artikelen
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