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Multiplication of integral octonions

초록/요약

The integral subsets of octonions are an analog of integers in real numbers and related to many interesting topics in geometry and physics via E<inf>8</inf>-lattices. In this paper, we study the properties of the multiplication of the integral subsets of octonions by studying configuration of Fano plane via blocks and operations on them. And we show that the integral subsets are integral indeed by introducing new and elementary methods. © 2016 World Scientific Publishing Company

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