Word.ws English Dictionary

Hodge star

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.

Noun

Hodge star (plural Hodge stars)

  1. 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.

Forms of Hodge star

pluralHodge stars

Origin of Hodge star

Introduced by W. V. D. Hodge.

Questions about Hodge star

What does Hodge star mean?
Hodge star means 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.
What part of speech is Hodge star?
Hodge star is a noun.
What is the plural of Hodge star?
The plural of Hodge star is Hodge stars.

Words near Hodge star in the dictionary

  1. hodge
  2. Hodge decomposition
  3. Hodge decompositions
  4. Hodge dual
  5. Hodge duals
  6. Hodge star
  7. Hodge stars
  8. Hodge theory
  9. Hodge-de Rham spectral sequence
  10. hodge-podge
  11. hodge-podges

Source and license

Adapted from Wiktionary: Hodge star (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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