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Remarks on the structure constants of the Verlinde algebra associated to sl3

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Abstract

We present a new formula for the structure constants of the Verlinde algebra associated to sl3. We show that after an affine change of variables the structure constants, considered as a function of highest weights, become the weight function of a suitable sl3 highest weight representation.

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References

  1. Verlinde, E.: Nuclear Phys. B 300 (1988), 360.

    Google Scholar 

  2. Faltings, G.: J. Algebraic Geom, 3 (1994), 347.

    Google Scholar 

  3. Goodman, F. M. and Wenzl, H. Adv. in Math. 82 (1990), 244.

    Google Scholar 

  4. Kac, V., Infinite Dimensional Lie Algebras, 3rd edn., Cambridge Univ. Press, 1990.

  5. Sorger, C.: Seminaire Bourbaki, 47 eme annee, 1994–95, No. 794.

  6. Walton, M. A. Phys. Lett. B 2413 (1990), 365.

    Google Scholar 

  7. Fulton, W. and Harris, J., Representation Theory, Springer-Verlag, New York, 1991.

    Google Scholar 

  8. Tsuchiya, A., Ueno, K. and Yamada, Y.: Adv. Stud. Pure Math. 19 (1989), 495.

    Google Scholar 

  9. Begin, L., Kirillov, A. N., Mathieu, P. and Walton, M.A.: Lett. Math. Phys. 28 (1993), 257.

    Google Scholar 

  10. Begin, L., Mathieu, P. and Walton, M. A.: Modern Phys. Lett. A, 7 (35) (1992), 3255.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of North Carolina, 27599, Chapel Hill, NC, U.S.A.

    G. Felder & A. Varchenko

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  1. G. Felder
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  2. A. Varchenko
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Supported in part by NFS grants DMS-9400841 and DMS-9203929.

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Felder, G., Varchenko, A. Remarks on the structure constants of the Verlinde algebra associated to sl3 . Letters in Mathematical Physics 37, 167–172 (1996). https://doi.org/10.1007/BF00416019

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  • DOI: https://doi.org/10.1007/BF00416019

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