Characterizations of automorphic and anti-automorphic involutions of the quaternions

Lawson J., Kızıl E.

LINEAR & MULTILINEAR ALGEBRA, vol.69, no.11, pp.1975-1980, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 69 Issue: 11
  • Publication Date: 2021
  • Doi Number: 10.1080/03081087.2020.1758021
  • Journal Name: LINEAR & MULTILINEAR ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.1975-1980
  • Keywords: automorphism, involution, Quaternions
  • Yıldız Technical University Affiliated: Yes

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.