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arXiv · 1506.07593

Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n)

Jason L. Werry·Mark D. Gould·Phillip S. Isaac
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Abstract

The characteristic identity formalism discussed in our recent articles is further utilized to derive matrix elements of type 2 unitary irreducible $gl(m|n)$ modules. In particular, we give matrix element formulae for all gl(m|n) generators, including the non-elementary generators, together with their phases on finite dimensional type 2 unitary irreducible representations. Remarkably, we find that the type 2 unitary matrix element equations coincide with the type 1 unitary matrix element equations for non-vanishing matrix elements up to a phase.

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Jason L. Werry, Mark D. Gould, Phillip S. Isaac. 2015-06-25. Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n). https://doi.org/10.1063/1.4938076

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