Shuffle algebra realization of quantum affine superalgebra U_v(\mathfrakD(2,1;θ))

2019/09/27 by Boris Feigin, Yue Hu, Feigin, Boris +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1909.12575

openalex publication_date 2019/09/27 · openalex created_date 2019/10/18 · openalex updated_date 2026/07/28

Abstract

We give shuffle algebra realization of positive part of quantum affine superalgebra U_v(\widehat\mathfrakD(2,1;θ)) associated to any simple root systems. We also determine the shuffle algebra associated to \widehat\mathfraksl(2|1) with odd root system when v is a primitive root of unity of even order, generalizing results in \citeFJMMT03.

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