Power associative composition algebras

Authors
Cuenca, JA Elduque, A Perez-Izquierdo, JM
Citation
Ja. Cuenca et al., Power associative composition algebras, MANUSC MATH, 103(1), 2000, pp. 75-90
Citations number
19
Categorie Soggetti
Mathematics
Journal title
MANUSCRIPTA MATHEMATICA
ISSN journal
00252611 → ACNP
Volume
103
Issue
1
Year of publication
2000
Pages
75 - 90
Database
ISI
SICI code
0025-2611(200009)103:1<75:PACA>2.0.ZU;2-9
Abstract
Composition algebras of arbitrary dimension over a field and satisfying the identities x(2)x = xx(2) and (x(2))(2) = (x(2)x)x shown to be precisely th e well-known unital composition algebras, with the exception of three two d imensional algebras over the field of two elements.