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Simple Harish-Chandra supermodules over the super Schrödinger algebra

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Abstract

We study the N = 1 super Schrödinger algebra S in (1 + 1)-dimensional spacetime. The first part of this paper determines the necessary and sufficient conditions for highest weight supermodules over S to be simple. The paper also describes the structure of all Verma supermodules and determines all simple Harish-Chandra supermodules over S.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China

    YanAn Cai, Yun Gao & YongJie Wang

  2. Department of Mathematics and Statistics, York University, Toronto, M3J 1P3, Canada

    Yun Gao

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  1. YanAn Cai
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  2. Yun Gao
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  3. YongJie Wang
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Correspondence to YongJie Wang.

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Cai, Y., Gao, Y. & Wang, Y. Simple Harish-Chandra supermodules over the super Schrödinger algebra. Sci. China Math. 58, 2477–2488 (2015). https://doi.org/10.1007/s11425-015-5009-1

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  • DOI: https://doi.org/10.1007/s11425-015-5009-1

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