Document Zbl 0872.15023

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Transvectors of rank 8 over an algebraically closed field. (Transvecteur de rang 8 sur un corps algébriquement clos.) (French) Zbl 0872.15023

C. R. Acad. Sci., Paris, Sér. I 324, No. 6, 611-614 (1997).

Summary: We present the classification of trivectors of rank 8 over an algebraically closed field \(K\) of arbitrary characteristic by using the arithmetical invariant \(d_1(w)\) and the classification of trivectors and lower rank. We determine the maximal length \(\ell(K,8)\) of the rank-8 trivectors.

Cited in 5 Documents

MSC:

15A72

Vector and tensor algebra, theory of invariants

Keywords:

trivectors of rank 8; algebraically closed field; arithmetical invariant; classification; maximal length

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