Composition algebras and the two faces of G2



Downloads per month over past year

Boya, Luis J. and Campoamor Stursberg, Otto Ruttwig (2010) Composition algebras and the two faces of G2. International Journal of Geometric Methods in Modern Physics, 7 (3). pp. 367-378. ISSN 0219-8878

[thumbnail of Campoamor-Composition.pdf]

Official URL:


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.

Item Type:Article
Uncontrolled Keywords:First exceptional Lie group G2; composition algebra; division algebra; octonions;automorphism group of octonions; isotropy group; quaternions; split octonions; tensors; spin groups; F4
Subjects:Sciences > Mathematics > Algebra
ID Code:20883
Deposited On:17 Apr 2013 12:59
Last Modified:12 Dec 2018 15:13

Origin of downloads

Repository Staff Only: item control page