Finite-dimensional representations of the quantum superalgebra $U_q[gl(n/m)]$ and related q-identities

Details Finite-dimensional representations of the quantum superalgebra $U_q[gl(n/m)]$ and related q-identities Finite-dimensional representations of the quantum superalgebra $U_q[gl(n/m)]$ and related q-identities

1993-06-28

arxiv.org/abs/hep-th/9306149v1

Commun.Math.Phys. 166 (1994) 367-378

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1007/BF02112320

Explicit expressions for the generators of the quantum superalgebra $U_q[gl(n/m)]$ acting on a class of irreducible representations are given. The class under consideration consists of all essentially typical representations: for these a Gel'fand-Zetlin basis is known. The verification of the quantum superalgebra relations to be satisfied is shown to reduce to a set of $q$-number identities.

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