automorphism

noun2

1. •
   An isomorphism of a mathematical object or system of objects onto itself.

   • A tame automorphism is a product of elementary automorphisms, and a non-tame automorphism is called wild. The “tame automorphism problem” asks whether any automorphism is tame. — 2014
2. •
   The ascription to others of one's own characteristics or of one's own perceived characteristics.