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arXiv · hep-th/9306149

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

T. D. Palev·N. I. Stoilova·J. Van der Jeugt
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Abstract

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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T. D. Palev, N. I. Stoilova, J. Van der Jeugt. 1993-06-28. Finite-dimensional representations of the quantum superalgebra $U_q[gl(n/m)]$ and related q-identities. https://doi.org/10.1007/bf02112320

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