Article
| Title: | Non-weight modules over the super Schrödinger algebra (English) |
| Author: | Wang, Xinyue |
| Author: | Chen, Liangyun |
| Author: | Ma, Yao |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 74 |
| Issue: | 3 |
| Year: | 2024 |
| Pages: | 647-664 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We construct a family of non-weight modules which are free $U(\mathfrak {h})$-modules of rank 2 over the $N=1$ super Schrödinger algebra in $(1+1)$-dimensional spacetime. We determine the isomorphism classes of these modules. In particular, free $U(\mathfrak {h})$-modules of rank 2 over $\mathfrak {osp}(1|2)$ are also constructed and classified. Moreover, we obtain the sufficient and necessary conditions for such modules to be simple. (English) |
| Keyword: | super Schrödinger algebra |
| Keyword: | simple module |
| Keyword: | U($\mathfrak {h}$)-free module, non-weight module |
| MSC: | 17B10 |
| MSC: | 17B20 |
| MSC: | 17B35 |
| MSC: | 17B66 |
| DOI: | 10.21136/CMJ.2024.0030-23 |
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| Date available: | 2024-10-03T12:31:45Z |
| Last updated: | 2024-10-04 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152571 |
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