REPRESENTATIONS OF ALTERNATIVE CLIFFORD ALGEBRAS OF QUADRATIC FORMS

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.

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Bibliographic Details
Published in:Glasgow mathematical journal 2015-09, Vol.57 (3), p.579-590
Main Author: MUSGRAVE, STACY MARIE
Format: Article
Language:English
Subjects:
Algebra
Joints
Mathematical analysis
Quadratic forms
Representations
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Summary: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.
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089514000500