Structure of Extended Loop Wave Function in Quantum Gravity and Operator   Formalism
  The structure of extended loop wave function is investigated in terms of the operator formalism. It is found that the extended loop wave function is characterized by the family number and classified by the partition of the family number. It is pointed out that the constraints to the extended loop function in quantum gravity exhibit a hierarchy structure. 
Michiyoshi Saito, Hujio Noda, Tsutomu Tashiro