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Highest weight irreducible representations of the Lie superalgebra $gl(1/\infty)$

Mathematical Physics 2015-06-26 v1 High Energy Physics - Theory Group Theory math.MP Quantum Algebra Representation Theory

Abstract

Two classes of irreducible highest weight modules of the general linear Lie superalgebra gl(1/)gl(1/\infty) 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.

Keywords

Cite

@article{arxiv.math-ph/9809024,
  title  = {Highest weight irreducible representations of the Lie superalgebra $gl(1/\infty)$},
  author = {T. D. Palev and N. I. Stoilova},
  journal= {arXiv preprint arXiv:math-ph/9809024},
  year   = {2015}
}

Comments

24 pages, TeX; Journ. Math. Phys. (to be published)