Quantum N-toroidal algebras and extended quantized GIM algebras of N-fold affinization
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2019
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| Acceso en línea: | |
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| _version_ | 1866915175874953216 |
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| author | Gao, Yun Jing, Naihuan Xia, Limeng Zhang, Honglian |
| author_facet | Gao, Yun Jing, Naihuan Xia, Limeng Zhang, Honglian |
| contents | We introduce the notion of quantum $N$-toroidal algebras as natural generalization of the quantum toroidal algebras as well as extended quantized GIM algebras of $N$-fold affinization. We show that the quantum $N$-toroidal algebras are quotients of the extended quantized GIM algebras of $N$-fold affinization, which generalizes a well-known result of Berman and Moody for Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_06301 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Quantum N-toroidal algebras and extended quantized GIM algebras of N-fold affinization Gao, Yun Jing, Naihuan Xia, Limeng Zhang, Honglian Quantum Algebra We introduce the notion of quantum $N$-toroidal algebras as natural generalization of the quantum toroidal algebras as well as extended quantized GIM algebras of $N$-fold affinization. We show that the quantum $N$-toroidal algebras are quotients of the extended quantized GIM algebras of $N$-fold affinization, which generalizes a well-known result of Berman and Moody for Lie algebras. |
| title | Quantum N-toroidal algebras and extended quantized GIM algebras of N-fold affinization |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/1907.06301 |