Orthogonality Relations for 3jm-Symbols

Abstract

In the preceding chapter the main emphasis rests on the graphical representation and manipulation of single 3jm-symbols that constitute the basic building blocks for diagrams. The tools and conventions for zero-line nodes, line reversals etc. are discussed. To make further progress in proving that the graphical method is equivalent to the algebra of 3jm-symbols we make use of valid relations between 3jm-symbols. In consequence, we gain further insight into graphical methods by considering and re-writing equations (2.5) and (2.6) that represent orthogonality and closure.