Tel Hai Academic College

output

20002025

most citedThe quantum harmonic Otto cycle

378 citations

Showing math.RAShow all

5 papers · 1 filter

math.RA2023★ 4 cited

Roots and right factors of polynomials and left eigenvalues of matrices over Cayley-Dickson algebras

Adam Chapman, Solomon Vishkautsan

Over a composition algebra $A$ , a polynomial $f (x) \in A [x]$ has a root $α$ if and only $f (x) = g (x) \cdot (x - α)$ for some $g (x) \in A [x]$ . We examine whether this is true for general…

math.RA2021★ 4 cited

Roots and Dynamics of Octonion Polynomials

Adam Chapman, Solomon Vishkautsan

This paper is devoted to several new results concerning (standard) octonion polynomials. The first is the determination of the roots of all right scalar multiples of octonion polyn…

math.RA2020★ 3 cited

Fixed Points of Polynomials over Division Rings

Adam Chapman, Solomon Vishkautsan

We study the discrete dynamics of standard (or left) polynomials $f (x)$ over division rings $D$ . We define their fixed points to be the points $λ \in D$ for which $f^{\circ n} (λ) = λ$ …

math.RA2019★ 2 cited

Essential Dimension, Symbol Length and $p$ -rank

Adam Chapman, Kelly McKinnie

We prove that the essential dimension of central simple algebras of degree $p^{ℓ m}$ and exponent $p^{m}$ over fields $F$ containing a base-field $k$ of characteristic $p$ is at l…

math.RA2017

Differential Forms, Linked Fields and the $u$ -Invariant

Adam Chapman, Andrew Dolphin

We associate an Albert form to any pair of cyclic algebras of prime degree $p$ over a field $F$ with $char (F) = p$ which coincides with the classical Albert form when…

Roots and right factors of polynomials and left eigenvalues of matrices over Cayley-Dickson algebras

Roots and Dynamics of Octonion Polynomials

Fixed Points of Polynomials over Division Rings

Essential Dimension, Symbol Length and p-rank

Differential Forms, Linked Fields and the u-Invariant

Essential Dimension, Symbol Length and $p$ -rank

Differential Forms, Linked Fields and the $u$ -Invariant