On the classification of metric hypercomplex group alternative-elastic algebras for n=8
Abstract
In this article, the clarification to Note 4 (arXiv:1202.0941) for n=8 is considered. In this connection, answers to the following questions are given. 1. How to classify the metric hypercomplex orthogonal group alternative-elastic algebras for n=8? 2. How to associate the metric hypercomplex orthogonal group alternative-elastic algebra to the symmetric controlling spinor for n=8? 3. How technically to construct the symmetric controlling spinor for n=8? 4. What class does the octonion belong to, and how to describe its?
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