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Ling Chen
An S3-symmetry of the Jacobi identity for intertwining operator algebras view print
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| Published: |
July 29, 2015
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| Keywords: |
Intertwining operator algebras, Moore-Seiberg equations, Jacobi identity, S3-symmetry. |
| Subject: |
17B69, 81T40 |
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Abstract
We prove an S3-symmetry of the Jacobi identity for intertwining operator algebras. Since this Jacobi identity involves the braiding and fusing isomorphisms satisfying the genus-zero Moore-Seiberg equations, our proof uses not only the basic properties of intertwining operators, but also the properties of braiding and fusing isomorphisms and the genus-zero Moore-Seiberg equations. Our proof depends heavily on the theory of multivalued analytic functions of several variables, especially the theory of analytic extensions.
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| Acknowledgements
The author is supported by NSFC grant 11401559.
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| Author information
School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
chenling2013@ucas.ac.cn
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