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Composition algebras of degree two

Published online by Cambridge University Press:  20 January 2009

Alberto Elduque  and
José M. Pérez-izquierdo
Alberto Elduque
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain
José M. Pérez-izquierdo
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, WI 53706, U.S.A.
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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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 42 , Issue 3 , October 1999 , pp. 641 - 653
Copyright
Copyright © Edinburgh Mathematical Society 1999

References

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