Vector coherent state representations and their inner products

Understand

Several advances have extended the power and versatility of coherent state theory to the extent that it has become a vital tool in the representation theory of Lie groups and their Lie algebras.

• Representative applications are reviewed and some new developments are introduced.
• The examples given are chosen to illustrate special features of the scalar and vector coherent state constructions and how they work in practical situations.
• Comparisons are made with Mackey's theory of induced representations.