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arxiv: 0810.5562 · v1 · submitted 2008-10-30 · 🧮 math.AC · math.RA

Well, Papa, can you multiply triplets?

classification 🧮 math.AC math.RA
keywords algebratimesclassicalcommutativegradedimpossibleinterpretationmultiply
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We show that the classical algebra of quaternions is a commutative $\Z_2\times\Z_2\times\Z_2$-graded algebra. A similar interpretation of the algebra of octonions is impossible.

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