A model for \(so(5)=sp(4)\) Lie algebra
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.
scientific article; zbMATH DE number 3973190