Conjugation
From Encyclopedia of Mathematics
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
A term with various uses.
The mapping $x \mapsto g^{-1} x g$ for fixed $g$ in a group; the corresponding maps in a monoid, unital ring and other algebraic structures: see Conjugate elements.
The mapping $x +iy \mapsto x - iy$ of the complex numbers, which a field automorphism of order 2, fixing the subfield of real numbers. Analogous involutory automorphisms and anti-automorphisms of fields and skew fields such as the quaternions.
How to Cite This Entry:
Conjugation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Conjugation&oldid=35145
Conjugation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Conjugation&oldid=35145