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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2211.08135 |
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| _version_ | 1866908968194932736 |
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| author | Sun, YongLiang Zhang, Jinbi |
| author_facet | Sun, YongLiang Zhang, Jinbi |
| contents | For any Artin algebra, we construct a related algebra that increases the delooping level on one side while decreasing it to zero on the opposite side. This dual construction corresponds to Cummings' original work on finite dimensional algebras, later extended to rings by Henning Krause. As an application, we show that the finite delooping level is not left-right symmetric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_08135 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the asymmetry of finite delooping levels Sun, YongLiang Zhang, Jinbi Representation Theory For any Artin algebra, we construct a related algebra that increases the delooping level on one side while decreasing it to zero on the opposite side. This dual construction corresponds to Cummings' original work on finite dimensional algebras, later extended to rings by Henning Krause. As an application, we show that the finite delooping level is not left-right symmetric. |
| title | On the asymmetry of finite delooping levels |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2211.08135 |