Multilinear map
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High Quality Content by WIKIPEDIA articles! In linear algebra, a multilinear map is a mathematical function of several vector variables that is linear in each variable. A multilinear map of k variables is also called an k-linear map. If all variables belong to the same space, one can consider symmetric, antisymmetric and alternating k-linear maps. The latter coincide if the underlying ring has a characteristic different from two, else the former two coincide. General discussion of where this leads is at multilinear algebra.

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High Quality Content by WIKIPEDIA articles! In linear algebra, a multilinear map is a mathematical function of several vector variables that is linear in each variable. A multilinear map of k variables is also called an k-linear map. If all variables belong to the same space, one can consider symmetric, antisymmetric and alternating k-linear maps. The latter coincide if the underlying ring has a characteristic different from two, else the former two coincide. General discussion of where this leads is at multilinear algebra.