On quaternions and octonions: Their geometry, arithmetic, and symmetry

By G. Dixon. 2004

419 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/8f109bba1e645e93acff80f41ed71ac4f4f5b0b2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Nicholas R. Baeth
2. Janne Kauhanen
3. Daniel Smertnig
4. Heikki Orelma

In Geometry and Topology

1. Nicholas R. Baeth
2. Janne Kauhanen
3. Daniel Smertnig
4. Heikki Orelma
5. Pekka Koskela

Citations in the corpus

• Factorization theory: From commutative to noncommutative settings (2014, background): “An element A ∈ R • is an atom if and only if det(A) is a prime element of D if and only if A is a prime-like element of R• (this follows easily by means of the Smith Normal Form, see also the examples at the end of Section 6).”
• Cauchy–Riemann Operators in Octonionic Analysis (2017, background): “We refer [1, 2, 4] for more detailed description to the preceding construction.”