Okubo algebra
id:
okubo-algebra-274-8619007
title:
Okubo algebra
text:
In algebra, an Okubo algebra or pseudo-octonion algebra is an 8-dimensional non-associative algebra similar to the one studied by Susumu Okubo. Okubo algebras are composition algebras, flexible algebras (A(BA) = (AB)A), Lie admissible algebras, and power associative, but are not associative, not alternative algebras, and do not have an identity element. Okubo's example was the algebra of 3-by-3 trace-zero complex matrices, with the product of X and Y given by aXY + bYX – Tr(XY)I/3 where I is the
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https://en.wikipedia.org/wiki/Okubo_algebra
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2024-02-21T15:50:27Z
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{"identifier":"Q17099522","url":"https://www.wikidata.org/entity/Q17099522"}
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