Antisymmetric multilinear functional

Set

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

Discussion

Parents

Subset of

Multilinear functional