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References
Bouwknegt, P., McCarthy, J., Pilch, K., On the free field resolutions for coset conformal field theories, preprint, 1990.
Feigin, B.L., Frenkel, E.V., Quantization of the Drinfeld-Sokolov reduction, preprint, 1990.
Frenkel, E.V., Kac, V.G., Wakimoto, M., In preparation.
Frenkel, I.B., Representations of affine Lie algebras, Hecke modular forms and KdV type equations, Lecture Notes in Math. 933, Springer Verlag (1982), 71–110.
Goddard, P., Kent, A., Olive, D., Virasoro algebras and coset space models, Phys. Lett. B152 (1985), 88–93.
Kac, V.G., Infinite dimensional Lie algebras and Dedekind's η-function, Funct. Anal. Appl. 8 (1974), 68–70.
Kac, V.G., Simple Lie groups and the Legendre symbol, Lecture Notes in Math 848, Springer Verlag (1981), 110–124.
Kac, V.G., Infinite dimensional Lie algebras, Progess in Math 44, Birkhäuser, Boston, 1983; Second edition:Cambridge University Press, 1985; Third edition: Cambridge University Press, 1990.
Kac, V.G., Peterson, D.H., Affine Lie algebras and Hecke modular forms, Bull. Amer. Math. Soc. 3 (1980), 1057–1061.
Kac, V.G., Peterson, D.H., Infinite-dimensional Lie algebras, theta functions and modular forms, Advances in Math. 53 (1984), 125–264.
Kac, V.G., Wakimoto, M., Modular and conformal invariance constrains in representation theory of affine algebras, Advances in Math 70 (1988), 156–236.
Kac, V.G., Wakimoto, M., Modular invariant representations of infinite dimensional Lie algebras and superalgebras, Proc. Natl. Acad. Soc. 35 (1988), 4956–4960, USA.
Kac, V.G., Wakimoto, M., Classification of modular invariant representations of affine algebras,, in Infinite-dimensional Lie algebras and groups, Adv. Ser. in Math. Phys. 7, World Sci. 1989, 138–177.
Lu, S., Some results on modular invariant representations, in: Infinite-dimensional Lie algebras and groups, Adv. Ser. in Math. Phys. 7, World Sci., 1989, 235–253.
Lukyanov, S.L., Fateev, V.A., Kiev, preprint, 1988.
Mukhi, S., Panda, S., Fractional level current algebras and the classification of characters, Preprint, 1990.
Verlinde, E., Fusion rules and modular transformations in 2D conformal field theory, Nucl. Phys. B300 (1988), 360–375.
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Supported in part by NSF grant DMS-8802489 and Sloan grant 88-10-1.
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Kac, V.G., Wakimoto, M. Branching functions for winding subalgebras and tensor products. Acta Appl Math 21, 3–39 (1990). https://doi.org/10.1007/BF00053290
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DOI: https://doi.org/10.1007/BF00053290