On classification of quasifinite representations of two classes of Lie superalgebras of block type |
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Authors: | Chunguang Xia |
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Institution: | 1. Department of Mathematics, China University of Mining and Technology, Xuzhou, Chinachgxia@cumt.edu.cn |
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Abstract: | Motivated by a well-known theorem of Mathieu’s on Harish–Chandra modules over the Virasoro algebra and its super version, we show that an irreducible quasifinite module over two classes of Lie superalgebras 𝒮(q) of Block type is either a highest or lowest weight module or else a module of the intermediate series if q≠?1. For such a module over 𝒮(?1), we give a rough classification. |
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Keywords: | Highest weight modules Lie superalgebras of Block type Modules of the intermediate series Quasifinite modules |
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