Sums of squares in octonion algebras
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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.References
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Additional Information
- S. Pumplün
- Affiliation: School of Mathematics, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
- MR Author ID: 364237
- Email: susanne.pumpluen@nottingham.ac.uk
- Received by editor(s): December 9, 2002
- Received by editor(s) in revised form: June 14, 2004
- Published electronically: May 4, 2005
- Communicated by: Lance W. Small
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 3143-3152
- MSC (2000): Primary 17A75; Secondary 11E25
- DOI: https://doi.org/10.1090/S0002-9939-05-07917-7
- MathSciNet review: 2160175