On finite GK-dimensional Nichols algebras of diagonal type
This paper contributes to the proof of the conjecture posed in [5], stating that a Nichols algebra of diagonal type with finite Gelfand-Kirillov dimension has a finite (generalized) root system. We prove the conjecture assuming that the rank is 3 or that the braiding is of Cartan type.
| Authors: | ; |
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| Format: | Article |
| Publication date: | 2023 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:280967 |
| Online Access: | https://ddd.uab.cat/record/280967 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6722311 |
| Access Level: | Open access |
| Keyword: | Hopf algebras Nichols algebras Gelfand-kirillov dimension |
| Summary: | This paper contributes to the proof of the conjecture posed in [5], stating that a Nichols algebra of diagonal type with finite Gelfand-Kirillov dimension has a finite (generalized) root system. We prove the conjecture assuming that the rank is 3 or that the braiding is of Cartan type. |
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