Tensor product weight modules over the Virasoro algebra (Q2869832)
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scientific article; zbMATH DE number 6243088
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tensor product weight modules over the Virasoro algebra |
scientific article; zbMATH DE number 6243088 |
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Tensor product weight modules over the Virasoro algebra (English)
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7 January 2014
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Virasoro algebra
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highest weight module
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intermediate series module
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tensor product
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simple module
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0.9702754
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0.96556836
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0.94272554
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0.9338048
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0.93320286
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0.9286798
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0.9284599
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0.9219073
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0.92037773
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An interesting class of simple modules over the Virasoro algebra was constructed in [\textit{H. Zhang}, J. Algebra 190, No. 1, 1--10 (1997; Zbl 0884.17017)] by considering tensor products of certain simple highest weight modules with some simple modules from the intermediate series.NEWLINENEWLINEThe paper under review provides a sufficient and necessary condition for the tensor products of a simple highest weight Virasoro module and a simple Virasoro module from the intermediate series to be a simple Virasoro module. Furthermore, the authors classify all simple Virasoro modules which can be obtained in this way up to isomorphism.
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