Representations of Super Yangian

TL;DR

This paper classifies all finite-dimensional irreducible representations of the super Yangian related to the Lie superalgebra $gl(1|1)$, providing a comprehensive understanding of its representation theory.

Contribution

It offers a detailed classification of finite-dimensional irreducible representations of the super Yangian for $gl(1|1)$, a problem not fully addressed before.

Findings

Complete classification of irreducible representations

Explicit description of representation structures

Foundation for further studies in super Yangian representations

Abstract

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