The q-deformed boson realization of representation of quantum universal enveloping algebras for q a root of unity: II. The subalgebra chain of Uq(Cl)

Abstract

For pt.I see ibid., vol.24, p.3265, (1991). Applying the method of the q-deformed boson realization for the quantum group to the case where q is a root of unity the authors establish a set of standard basis for the representation space of the quantum universal enveloping algebra Uq(Cl) associated with a typical subalgebra chain of Uq(Cl). On this basis they systematically obtain irreducible and indecomposable representations of Uq(Cl) and its subalgebras. They discuss Uq(C2) in detail.