Proceedings of the Edinburgh Mathematical Society (Series 2)

Table of Contents - October 1999 - Volume 42, Issue 03  

Research Article

Composition algebras of degree two

Alberto Elduquea1* and José M. Pérez-izquierdoa2 p1*

a1 Departamento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain

a2 Department of Mathematics, University of Wisconsin, Madison, WI 53706, U.S.A.

Composition algebras in which the subalgebra generated by any element has dimension at most two are classified over fields of characteristic ≠2,3. They include, besides the classical unital composition algebras, some closely related algebras and all the composition algebras with invariant quadratic norm.

(Received April 02 1998)

Correspondence:

p1 present-address Departamento de Matemáticas y Computacioñ, Universidad de La Rioja, 26004 Logroño Spain

Footnotes

* Work supported by the Spanish DGICYT (Pb 94-1311-C03-03). The first author also acknowledges support from the “Universidad de La Rioja” (API-97/B05) and the second from grants from the “Plan de Formación del Personal Investigador” and “Programa de Formacion del Personal Investigador en el Extranjero”, DGICYT.