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Grassmann algebra

noun

Etymology

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

  1. derived from polymath

Definitions

  1. A direct sum with an exterior product of multivector spaces which are all based on a same…

    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.

The neighborhood

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA