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

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

1995-07-26

arxiv.org/abs/q-alg/9507029v1

Lett.Math.Phys. 37 (1996) 419-434

Physics

High Energy Physics

High Energy Physics - Theory

14 pages plain latex

Scientific paper

10.1007/BF00312673

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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