Article
| Title: | Annihilator ideals of finite dimensional simple modules of two-parameter quantized enveloping algebra $U_{r,s}(\mathfrak {sl}_2)$ (English) |
| Author: | Wang, Yu |
| Author: | Li, Xiaoming |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 73 |
| Issue: | 3 |
| Year: | 2023 |
| Pages: | 715-731 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Let $U$ be the two-parameter quantized enveloping algebra $U_{r,s}(\mathfrak {sl}_2)$ 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. (English) |
| Keyword: | two-parameter quantum group |
| Keyword: | locally finite subalgebra |
| Keyword: | adjoint action |
| Keyword: | annihilator ideal |
| MSC: | 16D25 |
| MSC: | 20G42 |
| idZBL: | Zbl 07729534 |
| idMR: | MR4632854 |
| DOI: | 10.21136/CMJ.2023.0193-22 |
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| Date available: | 2023-08-11T14:21:33Z |
| Last updated: | 2023-09-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151771 |
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