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Whittaker Modules over the N = 2 Super-BMS3 Algebra

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Abstract

This paper focuses on the analysis of Whittaker modules and high-order Whittaker modules over the N = 2 super-BMS3 algebra. We provide a classification of Whittaker vectors and establish the necessary and sufficient conditions for Whittaker modules to be simple. Additionally, we study the simple quotient of the universal Whittaker module if it is not simple.

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Acknowledgements

We gratefully acknowledge the partial financial support from the NSFC (Nos. 12071405, 11971315) and the Innovation Project of Excellent Doctoral Students of Xinjiang University, China (No. XJU2023BS019).

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Authors and Affiliations

  1. College of Mathematics and System Science, Xinjiang University, Urumqi, 830046, China

    Qingyan Wu

  2. Department of Mathematics, Huzhou University, Huzhou, 313000, China

    Shoulan Gao & Dong Liu

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  1. Qingyan Wu
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  2. Shoulan Gao
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  3. Dong Liu
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Correspondence to Dong Liu.

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Wu, Q., Gao, S. & Liu, D. Whittaker Modules over the N = 2 Super-BMS3 Algebra. Front. Math (2024). https://doi.org/10.1007/s11464-023-0104-z

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