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The gl(M|N) Super Yangian and Its Finite Dimensional Representations

R. B. Zhang
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Abstract

Methods are developed for systematically constructing the finite dimensional irreducible representations of the super Yangian Y(gl(M|N)) associated with the Lie superalgebra gl(M|N). It is also shown that every finite dimensional irreducible representation of Y(gl(M|N)) is of highest weight type, and is uniquely characterized by a highest weight. The necessary and sufficient conditions for an irrep to be finite dimensional are given.

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R. B. Zhang. 1995-07-26. The gl(M|N) Super Yangian and Its Finite Dimensional Representations. https://doi.org/10.1007/bf00312673

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