A homomorphism from the affine Yangian Y_ℏ,ε(\widehat\mathfraksl(n)) to the affine Yangian Y_ℏ,ε(\widehat\mathfraksl(n+1))

2023/12/15 by Mamoru Ueda, Ueda, Mamoru
Mathematics · Physics and Astronomy · #17B37 #17B69 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2312.09933

openalex publication_date 2023/12/15 · openalex created_date 2023/12/19 · openalex updated_date 2026/07/28

Abstract

We construct a homomorphism from the affine Yangian Y_ℏ,ε(\widehat\mathfraksl(n)) to the affine Yangian Y_ℏ,ε(\widehat\mathfraksl(n+1)). We also give the relationship between this homomorphism and the one from the affine Yangian Y_ℏ,ε(\widehat\mathfraksl(n)) to the universal enveloping algebra of the rectangular algebra W^k(\mathfrakgl(2n),(2ⁿ)) constructed by the author.

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