Representations of quantum lattice vertex algebras
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914985060335616 |
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| author | Kong, Fei |
| author_facet | Kong, Fei |
| contents | Let $Q$ be a non-degenerated even lattice, let $V_Q$ be the lattice vertex algebra associated to $Q$, and let $V_Q^η$ be a quantum lattice vertex algebra. In this paper, we prove the equivalence between the category $V_Q$-modules and the category of $V_Q^η$-modules. As a consequence, we show that every $V_Q^η$-module is completely reducible, and the set of simple $V_Q^η$-modules are in one-to-one correspondence with the set of cosets of $Q$ in its dual lattice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03552 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Representations of quantum lattice vertex algebras Kong, Fei Quantum Algebra 17B69 Let $Q$ be a non-degenerated even lattice, let $V_Q$ be the lattice vertex algebra associated to $Q$, and let $V_Q^η$ be a quantum lattice vertex algebra. In this paper, we prove the equivalence between the category $V_Q$-modules and the category of $V_Q^η$-modules. As a consequence, we show that every $V_Q^η$-module is completely reducible, and the set of simple $V_Q^η$-modules are in one-to-one correspondence with the set of cosets of $Q$ in its dual lattice. |
| title | Representations of quantum lattice vertex algebras |
| topic | Quantum Algebra 17B69 |
| url | https://arxiv.org/abs/2404.03552 |