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Tao Lu
Non-weight representations for the Drinfeld double of the Jordan plane
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| Published: |
August 5, 2026. |
| Keywords: |
Drinfeld double, Jordan plane, Whittaker module, simple module. |
| Subject [2010]: |
17B37, 16T05, 16D25, 16T20. |
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Abstract
This paper studies non-weight representations of the Drinfeld double D of the bosonization of the Jordan plane. We give a complete classification of simple Whittaker, twisted Whittaker, and quasi-Whittaker D-modules and determine their annihilators explicitly.
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| Acknowledgements
This work was supported by National Natural Science Foundation of China (No. 11701190).
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| Author information
Tao Lu
School of Mathematical Science
Yangzhou University
Yangzhou, 225002, China
taolu@yzu.edu.cn
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