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Coinduced Representations

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The Schrödinger-Virasoro Algebra

Part of the book series: Theoretical and Mathematical Physics ((TMP))

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Abstract

In order to classify ‘reasonable’ representations of the Virasoro algebra, V.G. Kac made the following conjecture: the Harish-Chandra representations, those for which L 0 (see Sect. 1.1.2) acts semi-simply with finite-dimensional eigenspaces, are either highest- (or lowest-) weight modules, or tensor density modules.

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Correspondence to Jérémie Unterberger .

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© 2012 Springer-Verlag Berlin Heidelberg

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Unterberger, J., Roger, C. (2012). Coinduced Representations. In: The Schrödinger-Virasoro Algebra. Theoretical and Mathematical Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22717-2_5

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  • DOI: https://doi.org/10.1007/978-3-642-22717-2_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22716-5

  • Online ISBN: 978-3-642-22717-2

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