Highest weight irreducible representations of the Lie superalgebra gl(1

  title={Highest weight irreducible representations of the Lie superalgebra gl(1},
  author={Tchavdar D. Palev and N I Stoilova},
  journal={Journal of Mathematical Physics},
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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