Applications of the freezing operators on cluster algebras
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913424262299648 |
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| author | Qin, Fan |
| author_facet | Qin, Fan |
| contents | We apply freezing operators to relate different (quantum) upper cluster algebras. We prove that these operators send localized (quantum) cluster monomials to localized (quantum) cluster monomials. They also send bases to bases in many cases. In addition, the bases constructed via freezing coincide with those constructed via localization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03186 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Applications of the freezing operators on cluster algebras Qin, Fan Quantum Algebra Representation Theory 13F60 We apply freezing operators to relate different (quantum) upper cluster algebras. We prove that these operators send localized (quantum) cluster monomials to localized (quantum) cluster monomials. They also send bases to bases in many cases. In addition, the bases constructed via freezing coincide with those constructed via localization. |
| title | Applications of the freezing operators on cluster algebras |
| topic | Quantum Algebra Representation Theory 13F60 |
| url | https://arxiv.org/abs/2407.03186 |