The use of group theory in physics dates back to the early 20th century, when physicists such as Hermann Weyl and Eugene Wigner began to apply group theoretical methods to the study of quantum mechanics. Since then, group theory has become an essential tool in physics, with applications in areas such as particle physics, condensed matter physics, and quantum field theory.

The representation theory of groups is a powerful tool for analyzing the symmetries of physical systems. In essence, a representation of a group is a way of associating matrices or linear transformations with the elements of the group.

If you're looking for a better understanding of group theory in physics, we highly recommend Wuki Tung's book. You can find a PDF version of the book online, which provides a convenient and affordable way to access this valuable resource.

Group theory is a branch of abstract algebra that deals with the study of groups, which are sets of elements equipped with a binary operation that satisfies certain properties. In physics, group theory is used to describe the symmetries of physical systems, such as the rotational symmetry of a sphere or the translational symmetry of a crystal lattice.