2026-08-22T19:39:19Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/437612024-07-16T14:04:09Zcom_20.500.14352_14col_20.500.14352_15

Composition algebras and the two faces of G2 Boya, Luis J. Campoamor Stursberg, Otto-Rudwig We consider composition and division algebras over the real numbers: We note two roles for the group G2: 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. 2023-06-20T03:32:03Z 2023-06-20T03:32:03Z 2010 journal article 0219-8878 10.1142/S0219887810004348 https://hdl.handle.net/20.500.14352/43761 https//doi.org/10.1142/S0219887810004348 http://www.worldscientific.com/doi/abs/10.1142/S0219887810004348 eng FPA2006-0235 GR58/4120818-920920 open access World Scientific