Octonion algebras obtained from associative algebras with involution
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- by Holger P. Petersson and Michel L. Racine PDF
- Proc. Amer. Math. Soc. 130 (2002), 1563-1572 Request permission
Abstract:
A natural octonion algebra structure on the symmetric elements of trace 0 of central simple associative algebras of degree 3 with involution of the second kind is obtained.References
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Additional Information
- Holger P. Petersson
- Affiliation: Fachbereich Mathematik, FernUniversitaet, D-58084 Hagen, Germany
- MR Author ID: 138575
- Email: holger.petersson@fernuni-hagen.de
- Michel L. Racine
- Affiliation: Department of Mathematics & Statistics, University of Ottawa, Ottawa, Ontario, Canada K1N 6N5
- Email: mracine@uottawa.ca
- Received by editor(s): July 19, 2000
- Received by editor(s) in revised form: November 22, 2000
- Published electronically: October 24, 2001
- Additional Notes: The second author’s research was supported in part by a grant from NSERC
- Communicated by: Lance W. Small
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 1563-1572
- MSC (2000): Primary 17A75, 16W10, 17C40
- DOI: https://doi.org/10.1090/S0002-9939-01-06241-4
- MathSciNet review: 1887000