On a class of representations of the Virasoro algebra and a conjecture of Kac |
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Authors: | C Martin A Piard |
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Institution: | (1) Physique Mathématique, U.A. CNRS 1102, University of Bourgogne, BP 138, 21004 Dijon Cedex, France |
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Abstract: | We consider a class of representations of the Virasoro algebra that we call bounded admissible representations. For this class, we prove a conjecture of Victor Kac concerning the irreducibility of these representations. Results concerning the center and dimensions of weight spaces are also obtained. |
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Keywords: | 17B65 22E65 |
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