Vertex operator algebras associated to the Virasoro algebra over an arbitrary field
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- by Chongying Dong and Li Ren PDF
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Abstract:
The vertex operator algebras and modules associated to the highest weight modules for the Virasoro algebra over an arbitrary field $\mathbb {F}$ with $\mathrm {ch}\mathbb {F}\ne 2$ are studied. The irreducible modules of vertex operator algebra $L(\frac {1}{2},0)_{\mathbb {F}}$ are classified. The rationality of $L(\frac {1}{2},0)_{\mathbb {F}}$ is established if $\mathrm {ch}\mathbb {F}\ne 7.$References
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Additional Information
- Chongying Dong
- Affiliation: School of Mathematics, Sichuan University, Chengdu 610064, People’s Republic of China — and — Department of Mathematics, University of California, Santa Cruz, California 95064
- MR Author ID: 316207
- Li Ren
- Affiliation: School of Mathematics, Sichuan University, Chengdu 610064, People’s Republic of China
- MR Author ID: 904508
- Received by editor(s): March 31, 2014
- Received by editor(s) in revised form: July 20, 2014
- Published electronically: November 12, 2015
- Additional Notes: The first author was supported by an NSF grant and China NSF grant 11371261
The second author was supported in part by China Postdoctor grant 2012M521688 and China NSF grant 11301356 - © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 5177-5196
- MSC (2010): Primary 17B69
- DOI: https://doi.org/10.1090/tran/6529
- MathSciNet review: 3456176