TY - JOUR AU - Boya, Luis J. AU - Campoamor-Stursberg, Rutwig PY - 2010 DO - 10.1142/S0219887810004348 SN - 0219-8878 UR - https://hdl.handle.net/20.500.14352/43761 T2 - International Journal of Geometric Methods in Modern Physics AB - 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... LA - eng M2 - 367 PB - World Scientific KW - First exceptional Lie group G2 KW - composition algebra KW - division algebra KW - octonions KW - automorphism group of octonions KW - isotropy group KW - quaternions KW - split octonions KW - tensors KW - spin groups KW - F4 TI - Composition algebras and the two faces of G2 TY - journal article VL - 7 ER -