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

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.

14 pages plain latex

References in corpus (2)

• Representations of Super Yangian
• The Quantum Super Yangian and Casimir Operators of $U_q(gl(M|N))$

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