Hyperbolic quaternion

id: hyperbolic-quaternion-322-6572544
title: Hyperbolic quaternion
text: In abstract algebra, the algebra of hyperbolic quaternions is a nonassociative algebra over the real numbers with elements of the form where the squares of i, j, and k are +1 and distinct elements of {i, j, k} multiply with the anti-commutative property. The four-dimensional algebra of hyperbolic quaternions incorporates some of the features of the older and larger algebra of biquaternions. They both contain subalgebras isomorphic to the split-complex number plane. Furthermore, just as the quate
brand slug: wiki
category slug: encyclopedia
description: Mutation of quaternions where unit vectors square to +1
original url: https://en.wikipedia.org/wiki/Hyperbolic_quaternion
date created:
date modified: 2024-04-19T03:10:03Z
main entity: {"identifier":"Q3413403","url":"https://www.wikidata.org/entity/Q3413403"}
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fields total: 13
integrity: 14

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