Luis J. Boya, R. Campoamor-Stursberg. Composition algebras and the two faces of G_{2}


Natural Sciences / Physics / Mathematical Physics

Submitted on: Sep 12, 2012, 17:46:19

Description: We consider composition and division algebras over the real numbers: We note two roles for the group G_{2}: as automorphism group of the octonions and as the isotropy group of a generic 3-form in 7 dimensions. We show why they are equivalent, by means of a regular metric. We express in some diagrams the relation between some pertinent groups, most of them related to the octonions. Some applications to physics are also discussed.

The abstract of this article will be published in the September 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.

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Luis_Boya__Composition_algebras.pdf



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