Mathematical Object

Alternating Multilinear Map

Algebra

In mathematics, and more specifically in multilinear algebra, an alternating multilinear map is a multilinear map whose arguments all belong to the same vector space, such as a bilinear or multilinear form, and whose value is zero whenever any two of its arguments are equal; the notion generalizes directly to a module over a commutative ring. The process of alternatization, or alternatisation, derives an alternating multilinear map from any multilinear map whose arguments all belong to the same space.

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Source Alternating Multilinear Map (Wikipedia)

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Functions, Concepts
Sources
1. Alternating Multilinear Map (Wikipedia)
  • Lead section
    In mathematics, more specifically in multilinear algebra, an alternating multilinear map is a multilinear map with all arguments belonging to the same vector space (for example, a bilinear form or a multilinear form) that is zero whenever any pair of its arguments is equal.
  • In Branch: Algebra, Lead sentence
    In mathematics, more specifically in multilinear algebra, an alternating multilinear map is a multilinear map with all arguments b
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