Symmetric operads of GK-dimension one
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arXiv
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| Hauptverfasser: | , , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910125247168512 |
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| author | Li, Yu Qi, Zihao Xu, Yongjun Zhang, James J. Zhang, Zerui Zhao, Xiangui |
| author_facet | Li, Yu Qi, Zihao Xu, Yongjun Zhang, James J. Zhang, Zerui Zhao, Xiangui |
| contents | We prove that there is no finitely generated symmetric operad of Gelfand-Kirillov dimension strictly between 1 and 2 that answers an open question posted in 2020. We also classify finitely generated prime symmetric operads of Gelfand-Kirillov dimension 1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_11469 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symmetric operads of GK-dimension one Li, Yu Qi, Zihao Xu, Yongjun Zhang, James J. Zhang, Zerui Zhao, Xiangui Rings and Algebras We prove that there is no finitely generated symmetric operad of Gelfand-Kirillov dimension strictly between 1 and 2 that answers an open question posted in 2020. We also classify finitely generated prime symmetric operads of Gelfand-Kirillov dimension 1. |
| title | Symmetric operads of GK-dimension one |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2604.11469 |