Stacy Musgrave
Abstract
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Abstract 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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Abstract 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.
Key concepts: Clifford algebra, Mathematics, Algebra over a field, Classification of Clifford algebras, Quadratic equation, Algebraic number, Pure mathematics, Quadratic form (statistics)