COMPOSITION ALGEBRAS AND THE TWO FACES OF G2

Autor:	Rutwig Campoamor-Stursberg, Luis J. Boya
Rok vydání:	2010
Předmět:	Automorphism group Pure mathematics Physics and Astronomy (miscellaneous) Group (mathematics) Isotropy FOS: Physical sciences Mathematical Physics (math-ph) Division (mathematics) Composition (combinatorics) 17B25 Álgebra Metric (mathematics) Algebra over a field Mathematical Physics Real number
Zdroj:	E-Prints Complutense. Archivo Institucional de la UCM instname E-Prints Complutense: Archivo Institucional de la UCM Universidad Complutense de Madrid
ISSN:	1793-6977 0219-8878
DOI:	10.1142/s0219887810004348
Popis:	We consider composition and division algebras over the real numbers: We note two r\^oles 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. Comment: 11 pages, 3 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d961565d83664c7a12b922622a7ea906 https://doi.org/10.1142/s0219887810004348 Zobrazit plný text záznamu