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On unitarizable modules over generalized Virasoro algebras

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Abstract

We classify unitarizable modules with highest weight and unitarizable modules of an intermediate series over generalized Virasoro algebras.

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References

  1. B. Feigin and D. Fuchs, “Representations of the Virasoro algebra,” in: Representations of Lie Groups and Algebras, Adv. Stud. Cont. Math., Gordon and Breach, New York (1990), pp. 447–554.

    Google Scholar 

  2. D. Friedan, Z. Qui, and S. Shenker, “Conformai invariance, unitarity, and critical exponent in two dimensions,” Phys. Rev. Lett., 52, 1575–1578 (1984).

    Article  MathSciNet  Google Scholar 

  3. P. Goddar, A. Kent, and D. Olive, “Unitary representations of the Virasoro and super-Virasoro algebras,” Commun. Math. Phys., 103, 105–119 (1986).

    Article  Google Scholar 

  4. V. Kac and M. Wakimoto, “Unitarizable highest weight representations of the Virasoro, Neveu-Schwarz, and Ramond algebras,” Lect. Notes Phys., 261, 345–371 (1986).

    Article  MathSciNet  Google Scholar 

  5. V. Mazorchuk, “Classification of simple Harish-Chandra modules over a Q-Virasoro algebra,” Preprint No. 97–019, Bielefeld University, Bielefeld (1997).

    Google Scholar 

  6. J. Patera and H. Zassenhaus, “The higher rank Virasoro algebras,” Commun. Math. Phys., 136, 1–14 (1991).

    Article  MATH  MathSciNet  Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 9, pp. 1278–1280, September, 1998.

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Mazorchuk, V.S. On unitarizable modules over generalized Virasoro algebras. Ukr Math J 50, 1461–1463 (1998). https://doi.org/10.1007/BF02525253

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  • DOI: https://doi.org/10.1007/BF02525253

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