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REPRESENTATIONS OF ALTERNATIVE CLIFFORD ALGEBRAS OF QUADRATIC FORMS

Published online by Cambridge University Press:  18 December 2014

STACY MARIE MUSGRAVE*
Affiliation:
School of Mathematical and Statistical Sciences, Arizona State University, Tempe AZ 85287, USA
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Abstract

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This work defines a new algebraic structure, to be called an alternative Clifford algebra associated to a given quadratic form. I explored its representations, particularly concentrating on connections to the well-understood octonion algebras. I finished by suggesting directions for future research.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2014 

References

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