Exterior algebra

id: exterior-algebra-188-3251746
title: Exterior algebra
text: In mathematics, the exterior algebra or Grassmann algebra of a vector space V is an associative algebra that contains V, which has a product, called exterior product or wedge product and denoted with ∧, such that v ∧ v = 0 for every vector v in V. The exterior algebra is named after Hermann Grassmann, and the names of the product come from the "wedge" symbol ∧ and the fact that the product of two elements of V is "outside" V. The wedge product of k vectors v 1 ∧ v 2 ∧ ⋯ ∧ v k is called a blade o
brand slug: wiki
category slug: encyclopedia
description: Algebra of exterior/ wedge products
original url: https://en.wikipedia.org/wiki/Exterior_algebra
date created: 2003-05-04T21:18:18Z
date modified: 2024-09-08T18:17:45Z
main entity: {"identifier":"Q1196652","url":"https://www.wikidata.org/entity/Q1196652"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/2/27/N_vector_positive.svg","width":480,"height":552}
fields total: 13
integrity: 16

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