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Sums of squares in octonion algebras

Author(s): S. Pumplün
Journal: Proc. Amer. Math. Soc. 133 (2005), 3143-3152.
MSC (2000): Primary 17A75; Secondary 11E25
Posted: May 4, 2005
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Abstract: Sums of squares in composition algebras are investigated using methods from the theory of quadratic forms. For any integer $m\geq 1$ octonion algebras of level $2^m$ and of level $2^m+1$ are constructed.

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Additional Information:

S. Pumplün
Affiliation: School of Mathematics, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
Email: susanne.pumpluen@nottingham.ac.uk

DOI: 10.1090/S0002-9939-05-07917-7
PII: S 0002-9939(05)07917-7
Keywords: Composition algebras, quadratic algebras, level, sums of squares
Received by editor(s): December 9, 2002
Received by editor(s) in revised form: June 14, 2004
Posted: May 4, 2005
Communicated by: Lance W. Small
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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