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Abstract In this paper, a class of non-weight modules over N = 1 {N=1} Lie superalgebras of Block type (without center) is studied. These modules over Ramond algebras of Block… Click to show full abstract
Abstract In this paper, a class of non-weight modules over N = 1 {N=1} Lie superalgebras of Block type (without center) is studied. These modules over Ramond algebras of Block type are free of rank 1 when restricted to the universal enveloping algebra of the Cartan subalgebra, while such modules are free of rank 2 over the Neveu–Schwarz algebras of Block type. We present the classification of these modules. Furthermore, the simplicity of these modules is determined.
Keywords:
weight modules;
modules lie;
block;
block type;
non weight
Journal Title: Forum Mathematicum
Year Published: 2023
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Journal Title: Forum Mathematicum
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!