Affine super Yangians and deformed double current superalgebras

2024/04/10 by Nicolas Guay, Guay, Nicolas, Peggy Jankovic +3
Mathematics · #16G99 #16W55 #81R50 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2404.07328

openalex publication_date 2024/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend to the super Yangian of the special linear Lie superalgebra \mathfraksl_m|n and its affine version certain results related to Schur-Weyl duality. We do the same for the deformed double current superalgebra of \mathfraksl_m|n, which is introduced here for the first time.

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