Abstract
Let U be the two-parameter quantized enveloping algebra \({U_{r,s}}({\mathfrak{s}\mathfrak{l}_2})\) and F(U) the locally finite subalgebra of U under the adjoint action. The aim of this paper is to determine some ring-theoretical properties of F(U) in the case when rs−1 is not a root of unity. Then we describe the annihilator ideals of finite dimensional simple modules of U by generators.
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Acknowledgements
The authors are sincerely grateful to Professor Libin Li for his helpful suggestions and continuous encouragement. We also would like to thank the reviewer for his or her careful review and constructive comments.
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This work was supported by the National Natural Science Foundation of China (Grant No. 11871063).
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Wang, Y., Li, X. Annihilator ideals of finite dimensional simple modules of two-parameter quantized enveloping algebra \({U_{r,s}}({\mathfrak{s}\mathfrak{l}_2})\). Czech Math J 73, 715–731 (2023). https://doi.org/10.21136/CMJ.2023.0193-22
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DOI: https://doi.org/10.21136/CMJ.2023.0193-22