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

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

1998-09-28

arxiv.org/abs/math-ph/9809024v1

Physics

Mathematical Physics

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

Scientific paper

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

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