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REPRESENTATIONS OF ALTERNATIVE CLIFFORD ALGEBRAS OF QUADRATIC FORMS

Part of: Other nonassociative rings and algebras Forms and linear algebraic groups

Published online by Cambridge University Press:  18 December 2014

STACY MARIE MUSGRAVE
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.

MSC classification

Secondary: 11E88: Quadratic spaces; Clifford algebras 17D99: None of the above, but in this section
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 57 , Issue 3 , September 2015 , pp. 579 - 590
Copyright
Copyright © Glasgow Mathematical Journal Trust 2014 

References

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