Smash product construction of modular lattice vertex algebras
Motivated by a work of Li, we study nonlocal vertex algebras and their smash products over fields of positive characteristic. Through smash products, modular vertex algebras associated with positive definite even lattices are reconstructed. This gives a different construction of the modular vertex a...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2022011?viewType=HTML |
| _version_ | 1817985384614723584 |
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| author | Qiang Mu |
| author_facet | Qiang Mu |
| author_sort | Qiang Mu |
| collection | DOAJ |
| description | Motivated by a work of Li, we study nonlocal vertex algebras and their smash products over fields of positive characteristic. Through smash products, modular vertex algebras associated with positive definite even lattices are reconstructed. This gives a different construction of the modular vertex algebras obtained from integral forms introduced by Dong and Griess in lattice vertex operator algebras over a field of characteristic zero. |
| first_indexed | 2024-04-13T23:56:32Z |
| format | Article |
| id | doaj.art-6328beefb54d4be38cf85b174b082a1d |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-04-13T23:56:32Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-6328beefb54d4be38cf85b174b082a1d2022-12-22T02:23:51ZengAIMS PressElectronic Research Archive2688-15942022-01-0130120422010.3934/era.2022011Smash product construction of modular lattice vertex algebrasQiang Mu0School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang 150025, ChinaMotivated by a work of Li, we study nonlocal vertex algebras and their smash products over fields of positive characteristic. Through smash products, modular vertex algebras associated with positive definite even lattices are reconstructed. This gives a different construction of the modular vertex algebras obtained from integral forms introduced by Dong and Griess in lattice vertex operator algebras over a field of characteristic zero.https://www.aimspress.com/article/doi/10.3934/era.2022011?viewType=HTMLvertex operator algebramodular vertex algebra |
| spellingShingle | Qiang Mu Smash product construction of modular lattice vertex algebras Electronic Research Archive vertex operator algebra modular vertex algebra |
| title | Smash product construction of modular lattice vertex algebras |
| title_full | Smash product construction of modular lattice vertex algebras |
| title_fullStr | Smash product construction of modular lattice vertex algebras |
| title_full_unstemmed | Smash product construction of modular lattice vertex algebras |
| title_short | Smash product construction of modular lattice vertex algebras |
| title_sort | smash product construction of modular lattice vertex algebras |
| topic | vertex operator algebra modular vertex algebra |
| url | https://www.aimspress.com/article/doi/10.3934/era.2022011?viewType=HTML |
| work_keys_str_mv | AT qiangmu smashproductconstructionofmodularlatticevertexalgebras |