Representations of Super Yangian

Abstract

We present in detail the classification of the finite dimensional irreducible representations of the super Yangian associated with the Lie superalgebra $gl(1|1)$.

14 pages, plain latex, no figure

References in corpus (1)

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

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• RTT realization of quantum affine superalgebras and tensor products
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• New quiver-like varieties and Lie superalgebras
• Representations of the super Yangians of types $A$ and $C$
• A note on odd reflections of super Yangian and Bethe ansatz
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• Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra
• Odd reflections in the Yangian associated with $\mathfrak{g}l(m|n)$
• The Algebraic Structure of the $gl(n|m)$ Color Calogero-Sutherland Models
• Conserved Charges in the Principal Chiral Model on a Supergroup
• Super Yangian Double $DY(gl(1|1))$ and Its Gauss Decomposition
• Super-Yangian Y(gl(1|1)) and Its Oscillator Realization
• Representations of the super-Yangian of type $D(n,m)$
• Twisted super Yangians of type AIII and their representations