An octonionic construction of the Kac superalgebra K$_{10}$
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- by M. L. Racine and E. I. Zel’manov PDF
- Proc. Amer. Math. Soc. 143 (2015), 1075-1083 Request permission
Abstract:
The split Kac Jordan superalgebra K$_{10}$, as well as its forms, are embedded in ${\mathcal {M}}_2({\mathcal {O}})$, the 2 by 2 matrices with entries in the split octonion algebra $\mathcal {O}$.References
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Additional Information
- M. L. Racine
- Affiliation: Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, K1N 6N5, Canada
- Email: mracine@uottawa.ca
- E. I. Zel’manov
- Affiliation: Department of Mathematics, University of California, San Diego, La Jolla, California 92093-0112 — and — KAU, Jeddah, Saudi Arabia
- MR Author ID: 189654
- Email: ezelmanov@ucsd.edu
- Received by editor(s): May 14, 2012
- Received by editor(s) in revised form: July 23, 2013
- Published electronically: November 3, 2014
- Additional Notes: The first author is grateful to the Korea Institute for Advanced Study for its hospitality while part of this research was carried out.
The second author was supported in part by grants from NSF, DMS-0500568 - Communicated by: Birge Huisgen-Zimmermann
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 143 (2015), 1075-1083
- MSC (2010): Primary 17C70, 17C40; Secondary 17A75, 17D05
- DOI: https://doi.org/10.1090/S0002-9939-2014-12327-6
- MathSciNet review: 3293723
Dedicated: Dedicated to Kevin McCrimmon on his seventieth birthday