High Quality Content by WIKIPEDIA articles! In physics and mathematics, the Poincare group, named after Henri Poincare, is the group of isometries of Minkowski spacetime. It is a 10-dimensional noncompact Lie group. The abelian group of translations is a normal subgroup while the Lorentz group is a subgroup, the stabilizer of a point. Another way of putting it is the Poincare group is a group extension of the Lorentz group by a vector representation of it. Its positive energy unitary...
High Quality Content by WIKIPEDIA articles! In physics and mathematics, the Poincare group, named after Henri Poincare, is the group of isometries of Minkowski spacetime. It is a 10-dimensional noncompact Lie group. The abelian group of translations is a normal subgroup while the Lorentz group is a subgroup, the stabilizer of a point. Another way of putting it is the Poincare group is a group extension of the Lorentz group by a vector representation of it. Its positive energy unitary irreducible representations are indexed by mass (nonnegative number) and spin (integer or half integer), and are associated with particles in quantum mechanics.
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