There is a very powerful theorem established by Emmy Nœther that states that to any continuous symmetry one can associate a conserved quantity or a conserved charge [Boyer (1967)]. By a conserved charge we simply mean a quantity which ...
This book, an abridgment of Volumes I and II of the highly respected Group Theory in Physics, presents a carefully constructed introduction to group theory and its applications in physics.
This book emphasizes general features and methods which demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry. Particular attention is given to pedagogy.
5.1 One-Dimensional Representations Every symmetric group S, has a non-trivial invariant subgroup A, consisting of all even permutations. (An even permutation is one which is equivalent to an even number of simple transpositions.) ...
This book emphasizes general features and methods which demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry.Particular attention is given to pedagogy.