A model for \(so(5)=sp(4)\) Lie algebra (Q1082459)

The paper is the continuation of a previous one [Physica Scripta 22, 545- 555 (1980)] devoted to quadrupling in the shell model. We consider here a simple model of the ten-dimensional quasi-spin Lie algebra which is spectrum generating for the quadrupling Hamiltonian. The model allows us to investigate many concrete aspects of the theory of linear representations of the quasi-spin algebra. In particular, we present an explicit construction of the irreducible representation module for the finite dimensional representations, and we consider the direct product of the such irreducible modules.