Adam Chapman

activity

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 2013Show all

3 papers · 1 filter

math.RA2013

Chain Equivalences for Symplectic Bases, Quadratic Forms and Tensor Products of Quaternion Algebras

Adam Chapman

We present a set of generators for the symplectic group which is different from the well-known set of transvections, from which the chain equivalence for quadratic forms in charact…

math.RA2013

Quaternion quadratic equations in characteristic 2

Adam Chapman

In this paper we present a solution for any standard quaternion quadratic equation, i.e. an equation of the form $z^{2} + μ z + ν = 0$ where $μ$ and $ν$ belong to some quaternion division a…

math.RA2013★ 1 cited

Chain Lemma for Biquaternion Algebras in Characteristic 2

Adam Chapman

In this paper, we prove that for a given biquaternion algebra over a field of characteristic two, one can move from one symbol presentation to another by at most three steps, such…