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.
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<sub>l-1</sub>)q and （C<sub>l</sub>）q are constructed and their reduction structure and decompositions are analyzed.
基金
Project supported in part by the National Natural Science Foundation of China
