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Antisymmetric multilinear functional
Definition
$X$…$\mathcal F$-vector space |
$n\in \mathbb N$ |
$M\in \mathrm{SymMultiLin}(X^n)$ |
$M\in \mathrm{MultiLin}(X^n)$ |
$ v_1,\dots,v_n\in X $ |
$ 1\le i<j\le n $ |
$ M(v_1,\dots,v_i,\dots,v_j,\dots,v_n)=-M(v_1,\dots,v_j,\dots,v_i,\dots,v_n) $ |