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Octonion algebras obtained from associative algebras with involution
Author(s):
Holger
P.
Petersson;
Michel
L.
Racine
Journal:
Proc. Amer. Math. Soc.
130
(2002),
1563-1572.
MSC (2000):
Primary 17A75, 16W10, 17C40
Posted:
October 24, 2001
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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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- 1.
- Elduque, A. and Pérez, J.M., Composition algebras with associative bilinear forms, Comm. Algebra 24 (1996), 1091-1116.MR 97b:17006
- 2.
- Faulkner, J., Finding octonion algebras in associative algebras, Proc. Amer. Math. Soc. 104 (1988), 1027-1030. MR 89g:17003
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Additional Information:
Holger
P.
Petersson
Affiliation:
Fachbereich Mathematik, FernUniversitaet, D-58084 Hagen, Germany
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
DOI:
10.1090/S0002-9939-01-06241-4
PII:
S 0002-9939(01)06241-4
Received by editor(s):
July 19, 2000
Received by editor(s) in revised form:
November 22, 2000
Posted:
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 of article:
Copyright
2001,
American Mathematical Society
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