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Tight irreducible finite weight modules over twisted affine Lie\n superalgebras

2021/01/20 by Malihe Yousofzadeh, Yousofzadeh, Malihe
Mathematics · Physics and Astronomy · #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.2101.08330

openalex publication_date 2021/01/20 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

For a twisted affine Lie superalgebra with nonzero odd part, we study tight\nirreducible weight modules with bounded weight multiplicities and show that if\nthe action of nonzero real vectors of each affine component of the zero part is\nneither completely injective nor completely locally nilpotent, then these\nmodules are parabolically induced.\n

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