English

On the classification of metric hypercomplex group alternative-elastic algebras for n=8

Mathematical Physics 2012-08-23 v1 Differential Geometry math.MP Quantum Algebra Rings and Algebras

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?

Keywords

Cite

@article{arxiv.1208.4466,
  title  = {On the classification of metric hypercomplex group alternative-elastic algebras for n=8},
  author = {K. V. Andreev},
  journal= {arXiv preprint arXiv:1208.4466},
  year   = {2012}
}

Comments

MiKTeX v2.9, 13 pages, 6 tables, 1 listing