q-DEFORMED BOSON REPRESENTATIONS OF UNIVERSAL ENVELOPING ALGEBRAS IN THE CASE WHERE q IS A ROOT OF UNITY

摘要

By further improving the method of q-deformed boson realization, the standard basis is built for the typical subalgebra chains. When q is a root of unity, the irreducible and indecomposable representations of quantum universal enveloping algebras (A_l-1)q and （C_l）q are constructed and their reduction structure and decompositions are analyzed.