Modular invariant theory: Difference between revisions

Revision as of 02:30, 12 May 2012

Revision as of 04:32, 12 August 2012

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The matrices [''e''₁, ...,''e''_''n''] are divisible by all non-zero linear forms in the variables ''X''_''i'' with coefficients in the finite field '''F'''_''q''. In particular the [[Moore determinant over a finite field|Moore determinant]] [0, 1, ..., ''n'' − 1] is a product of such linear forms, taken over 1 + ''q'' + ''q''² + ... + ''q''^{''n'' – 1} representatives of (''n'' – 1)-dimensional projective space over the field. This factorization is similar to the factorization of the [[Vandermonde determinant]] into linear factors.

[[pt:Invariante modular]]

==See also==

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{{DEFAULTSORT:Modular Invariant Of A Group}}

[[Category:Invariant theory]]

[[pt:Invariante modular]]