The Surjectivity of the Evaluation Map of the Affine Super Yangian

2020/01/14 by Mamoru Ueda, Ueda, Mamoru
Mathematics · Physics and Astronomy · #17B37 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2001.06398

openalex publication_date 2020/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

There exists a homomorphism from the affine super Yangian to the completion of the universal enveloping algebra of \widehat\mathfrakgl(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.

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