Vector Coherent State Theory:. a Powerful Tool for Solving Algebraic Problems in Physics

VCS theory is perhaps the simplest and most effective way known for computing the matrix elements of a Lie algebra. It is a mathematical tool that noone who is serious about using algebraic methods in physics should be without. It encorporates the mathematical theories of induced representations and geometric quantization in a physically intuitive manner that makes it easy to construct the explicit representations of a desired Lie algebra in a chosen basis in a systematic manner. Its practical utility has been confirmed in numerous applications.