Split-octonion

id: split-octonion-172-14650434
title: Split-octonion
text: In mathematics, the split-octonions are an 8-dimensional nonassociative algebra over the real numbers. Unlike the standard octonions, they contain non-zero elements which are non-invertible. Also the signatures of their quadratic forms differ: the split-octonions have a split signature (4,4) whereas the octonions have a positive-definite signature (8,0). Up to isomorphism, the octonions and the split-octonions are the only two 8-dimensional composition algebras over the real numbers. They are al
brand slug: wiki
category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Split-octonion
date created: 2006-01-27T07:20:54Z
date modified: 2024-09-01T22:44:30Z
main entity: {"identifier":"Q3348988","url":"https://www.wikidata.org/entity/Q3348988"}
image:
fields total: 13
integrity: 14

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