References
[H] Humphreys, J.E.: Introduction to Lie algebras and representation theory. Berlin-Heidelberg-New York: Springer 1972
[J] Jantzen, J.C.: Moduln mit einem höchsten Gewicht. (Lecture Notes in Mathematics, Vol. 750). Berlin-Heidelberg-New York: Springer 1979
[K] Kac, V.G.: Infinite dimensional Lie algebras, 2nd edition. Cambridge: Cambridge Univ. Press 1985
[KK] Kac, V.G., Kazhdan, D.A.: Structure of representations with highest weight of infinite dimensional Lie algebras. Adv. Math.34, 97–108 (1979)
[M] Matsumura, H.: Commutative algebra. New York: Benjamin 1970
[S] Sugawara, H.: A field theory of currents. Phys. Rev.170, 1659–1662 (1968)
[Z] Želobenko, D.P.: Compact Lie groups and their representations. Transl. Math. Monogr. 40, 156–175 (1973)
Note added in proof
Wallach, N.: A class of non-standard modules for affine Lie algebras. Math. Z.196, 303–313 (1987)
Goodman, R., Wallach, N.: Higher-order Sugawara operators for affine Lie algebras. Preprint, Rutgers University
Bais, F.A., Bouwknegt, P., Surridge, M., Schoutens, K.: Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants. Amsterdam/Utrecht Preprint ITFA 87-12/THU 87-18
Bais, F.A., Bouwknegt, P., Surridge, M., Schoutens, K.: Coset construction for extended Virasoro algebras. Amsterdam/Utrecht Preprint ITFA 87-18/THU 87-21
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Hayashi, T. Sugawara operators and Kac-Kazhdan conjecture. Invent Math 94, 13–52 (1988). https://doi.org/10.1007/BF01394343
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DOI: https://doi.org/10.1007/BF01394343