The Surjectivity of the Evaluation Map of the Affine Super Yangian

Abstract

There exists a homomorphism from the affine super Yangian to the completion of the universal enveloping algebra of $\widehat{\mathfrak{gl}}(m|n)$, called the evaluation map. In this paper, we show that this homomorphism is surjective. Via the homomorphism, we obtain irreducible representations of the affine super Yangian.

improved exposition, many minor corrections, to appear in Osaka. J. Math

Cited by in corpus (1)

• Affine Super Yangians and Rectangular $W$-superalgebras