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Difference between revisions of "Discriminant tensor"

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The skew-symmetric tensor <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d033/d033250/d0332501.png" /> over an <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d033/d033250/d0332502.png" />-dimensional Euclidean space which is given by the (uniquely determined) component of the exterior <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d033/d033250/d0332503.png" />-form (describing the volume form) or of the monomial of maximal order.
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The skew-symmetric tensor $\epsilon_{i_1,\dots,i_n}$ over an $n$-dimensional Euclidean space which is given by the (uniquely determined) component of the exterior $n$-form (describing the volume form) or of the monomial of maximal order.

Latest revision as of 13:53, 21 August 2014

The skew-symmetric tensor $\epsilon_{i_1,\dots,i_n}$ over an $n$-dimensional Euclidean space which is given by the (uniquely determined) component of the exterior $n$-form (describing the volume form) or of the monomial of maximal order.

How to Cite This Entry:
Discriminant tensor. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Discriminant_tensor&oldid=18466