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Grassmann algebras

Grassmann algebras is the plural of Grassmann algebra.

Meaning of Grassmann algebra

Noun

Grassmann algebra (plural Grassmann algebras)

  1. A direct sum with an exterior product of multivector spaces which are all based on a same underlying finite-dimensional vector space. The associative algebra of sums and exterior products of scalars, vectors, blades, multivectors, and hybrid (i.e., non-homogeneous) sums of multivectors of different grades.
    • If a Grassmann algebra’s first grade consists of vectors of dimension n, then the algebra has n grades and 2ⁿ dimensions.
    Synonyms:
    exterior algebra

Questions about Grassmann algebras

What is Grassmann algebras the plural of?
Grassmann algebras is the plural of Grassmann algebra.

Words near Grassmann algebras in the dictionary

  1. grassling
  2. grasslings
  3. Grassman
  4. Grassmann
  5. Grassmann algebra
  6. Grassmann algebras
  7. Grassmann's law
  8. Grassmannian
  9. Grassmannians
  10. Grassmans
  11. Grassmere

Source and license

Adapted from Wiktionary: Grassmann algebras (page history and authors); Grassmann algebra (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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