The regular representation, Zhu's \(A(V)\)-theory, and induced modules (Q5936155)
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scientific article; zbMATH DE number 1616283
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The regular representation, Zhu's \(A(V)\)-theory, and induced modules |
scientific article; zbMATH DE number 1616283 |
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The regular representation, Zhu's \(A(V)\)-theory, and induced modules (English)
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2001
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Zhu proved that modules of a vertex operator algebra \(V\) are in one-to-one correspondence to the modules of an associative algebra \(A(V)\), now called Zhu's algebra. This paper is to relate Zhu's \(A(V)\)-theory to so called ``regular representations of vertex operator algebras'' introduced by the author in [Commun. Contemp. Math. 4, No. 4, 639--683 (2002; Zbl 1023.17019)].
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