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Indecomposable


Indecomposable describes a p-form alpha in  ^ ^pV^* for a real vector space V that cannot be written as a scalar multiple of the wedge product of one-forms

 alpha=cbeta_1 ^ ... ^ beta_p.

Here c is a scalar and V^* is the dual vector space to V. A p-form that can be written in this way is decomposable. For p=0, the empty wedge product is 1, so every 0-form is decomposable.


See also

Decomposable, Differential k-Form, Exterior Algebra, Indecomposable Continuum, Indecomposable Module

Portions of this entry contributed by Todd Rowland

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Cite this as:

Weisstein, Eric W., with contributions by Todd Rowland. "Indecomposable." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Indecomposable.html

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