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

collaborators

Showing 2015 · math.RAShow all

4 papers · 2 filters

math.RA2015

Linkage of Quadratic Pfister Forms

Adam Chapman, Shira Gilat, Uzi Vishne

We study the necessary conditions for sets of quadratic $n$ -fold Pfister forms to have a common $(n - 1)$ -fold Pfister factor. For any set $S$ of $n$ -fold Pfister forms generating a…

math.RA2015

Standard Polynomial Equations over Division Algebras

Adam Chapman, Casey Machen

Given a central division algebra $D$ of degree $d$ over a field $F$ , we associate to any standard polynomial $ϕ (z) = z^{n} + c_{n - 1} z^{n - 1} + \dots + c_{0}$ over $D$ a "companion polynomial"…

math.RA2015

Common subfields of p-algebras of prime degree

Adam Chapman

We show that if two division $p$ -algebras of prime degree share an inseparable field extension of the center then they also share a cyclic separable one. We show that the converse…

math.RA2015

Tensor Products of Cyclic Algebras of Degree 4 and their Kummer Subspaces

Adam Chapman, Charlotte Ure

We prove that the maximal dimension of a Kummer space in the generic tensor product of $n$ cyclic algebras of degree 4 is $4 n + 1$ .