Highest weight irreducible representations of the Lie superalgebra gl(1

@article{Palev1998HighestWI,
  title={Highest weight irreducible representations of the Lie superalgebra gl(1},
  author={Tchavdar D. Palev and N I Stoilova},
  journal={Journal of Mathematical Physics},
  year={1998},
  volume={40},
  pages={1574-1594}
}
Two classes of irreducible highest weight modules of the general linear Lie superalgebra gl(1|∞) are constructed. Within each module a basis is introduced and the transformation relations of the basis under the action of the algebra generators are written down. 
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