Finite‐dimensional irreducible representations of the Lie superalgebra sl(1,3) in a Gel’fand–Zetlin basis Available to Purchase

A concept of a Gel’fand–Zetlin pattern for the Lie superalgebra sl(1,3) is introduced. Within every finite‐dimensional irreducible sl(1,3) module the set of the Gel’fand–Zetlin patterns constitute an orthonormed basis, called a Gel’fand–Zetlin basis. Expressions for the transformation of this basis under the action of the generators are written down for every finite‐dimensional irreducible representation.