Grassmann algebra

From Wiktionary, the free dictionary
Jump to navigation Jump to search

English

[edit]

Etymology

[edit]

Named after Hermann Grassmann (1809–1877), a German polymath.

Noun

[edit]

Grassmann algebra (plural Grassmann algebras)

  1. (algebra) 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 dimensions.

Synonyms

[edit]

Hypernyms

[edit]

Further reading

[edit]