Poincare group

The group $Poin(3,1)$ or $ISO(3,1)$ is the semidirect product of translations $\mathbb{R}^4$ with the Lorentz group $O(3,1)$:

Poincaré symmetry is the full symmetry of special relativity. It includes:

• translations (displacements) in time and space, forming the abelian Lie group of translations on space-time;

• rotations in space, forming the non-Abelian Lie group of three-dimensional rotations

• boosts, or Lorentz transformations connecting two uniformly moving observers.

It substituted the Galilean group $Gal(3)$. See \section{Development of SR} at notasfisica.tex, and write it to obsidian.

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Author of the notes: Antonio J. Pan-Collantes

antonio.pan@uca.es