| Abstract: | We discuss briefly the basic (integrable)representation of the ucr, comprising the operators A ,its adjoint A+, and N (which is equal toN+), satisfying AN – NA = A. There areno additional relations between the operators, in general. The ucrinclude the ccr, car, deformed bosons and fermions, andmany other systems as special cases. The principalstructure theorem asserts that every integrablerepresentation of the ucr is determined by a sequencegeneralizing the n]-sequence of deformationtheory. |
