Eigensystem and full character formula of theW _1+∞ algebra withc = 1

1. See references in Bouwknegt, P. and Schoutens, K.,Phys. Rep. 223, 183–276 (1993).

   Google Scholar 

2. Fukuma, M., Kawai, H., and Nakayama, R.,Comm. Math. Phys. 143, 371–403 (1991).

   Google Scholar 

3. Itoyama, H. and Matsuo, Y.,Phys. Lett. B 262, 233–239 (1991).

   Google Scholar 

4. Kac, V. and Schwarz, A.,Phys. Lett. B 257, 329–334 (1991). Schwarz, A.,Modern Phys. Lett. A 6, 2713-2726 (1991).

   Google Scholar 

5. Goeree, J.,Nuclear Phys. B 358, 737–757 (1991).

   Google Scholar 

6. Iso, S., Karabali, D., and Sakita, B.,Phys. Lett. B 296, 143–150 (1992).

   Google Scholar 

7. Cappelli, A., Trugenberger, C., and Zemba, G.,Nuclear Phys. B 396, 465–490 (1993); Classification of quantum Hall universality classes by 298-1_{1 + ∞} Symmetry, Preprint MPI-PH-93-75, November 1993 (hepth/9310181).

   Google Scholar 

8. Bergshoeff, E., Pope, C., Romans, L., Sezgin, E., and Shen, X.,Phys. Lett. B 245, 447–452 (1990).

   Google Scholar 

9. Kac, V. and Radul, A.,Comm. Math. Phys. 157, 429–457 (1993).

   Google Scholar 

10. Pope, C., Romans, L., and Shen, X.,Nuclear Phys. B 339 191–221 (1990).

    Google Scholar 

11. Date, E., Jimbo, M., Kashiwara, M., and Miwa, T., in M. Jimbo and T. Miwa (eds),Proc. RIMS Sympos. Nonlinear Integrable Systems - Classical Theory and Quantum Theory, World Scientific, Singapore, 1983, pp. 39–120.

    Google Scholar 

12. Odake, S.,Internat. J. Modern Phys. A 7, 6339–6355 (1992).

    Google Scholar 

13. Matsuo, Y., Free fields and quasi-finite representation ofW _1+∞ algebra, Preprint UT-661, December 1993 (hepth/9312192).

14. Bakas, I., and Kiritsis, E.,Nuclear Phys. B 343, 185–204 (1990);Modern Phys. Lett. A 5, 2039-2050 (1990).

    Google Scholar 

15. Odake, S., and Sano, T.,Phys. Lett. B 258, 369–374 (1991).

    Google Scholar 

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