Hodge star

noun

A linear map defined on the exterior algebra of a finite-dimensional oriented vector space endowed with a nondegenerate symmetric bilinear form. Applying the operator to an element of the algebra produces the Hodge dual of the element.

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Meanings

nounHodge star (plural Hodge stars)

plural Hodge stars

  1. mathematicsA linear map defined on the exterior algebra of a finite-dimensional oriented vector space endowed with a nondegenerate symmetric bilinear form. Applying the operator to an element of the algebra produces the Hodge dual of the element.

Origin

Introduced by W. V. D. Hodge.

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Cite this entry
APA

Hodge star. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/Hodge%20star

MLA

“Hodge star.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Hodge%20star. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “Hodge star,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/Hodge%20star.

Source: Hodge star on Wiktionary, CC BY-SA 4.0.