Adam Chapman

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20112024

most citedA Simple Motivated Completion of the Standard Model below the Planck Scale: Axions and Right-Handed Neutrinos

78 citations · 165 across the 30 of their papers we have counts for

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Showing 2018 · math.RAShow all

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math.RA2018

Polynomial Equations over Octonion Algebras

Adam Chapman

In this paper we present a complete method for finding the roots of all polynomials of the form $ϕ (z) = c_{n} z^{n} + c_{n - 1} z^{n - 1} + \dots + c_{1} z + c_{0}$ over a given octonion division algebr…

math.RA2018

The Alternative Clifford Algebra of a Ternary Quadratic Form

Adam Chapman, Uzi Vishne

We prove that the alternative Clifford algebra of a nondegenerate ternary quadratic form is an octonion algebra over the ring of polynomials in one variable over the field of defin…