Abstract
In this paper we give two characterizations of those involutions on the algebra of quaternions that are automorphisms or anti-automorphisms, one in terms of inner automorphisms and the other in terms of the involution eigenspaces.
Keywords
Automorphism
Mathematics
Quaternion
Involution (esoterism)
Automorphic L-function
Pure mathematics
Automorphisms of the symmetric and alternating groups
Quaternion algebra
Algebra over a field
Automorphic form
Division algebra
Algebra representation
Geometry
Subject Areas
Advanced Topics in Algebra
·Algebra and Number Theory ·Physical Sciences
Finite Group Theory Research
·Discrete Mathematics and Combinatorics ·Physical Sciences
Advanced Differential Equations and Dynamical Systems
·Geometry and Topology ·Physical Sciences
Citations by Year
2021: 1
2023: 1
OpenAlex SDG Match
SDGs auto-classified by OpenAlex (score ≥ 0.4 shown).
Reduced inequalities 41%
Loading…
Loading…