On some modular representations of affine Kac-Moody algebras at the critical level

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1. [DGK] Deodhar, V., Gabber, O. and Kac, V.: Structure of some categories of representations of infinite dimensional Lie algebras, Adv. in Math.89 (1987) 247-270. Zbl0491.17008MR663417
2. [FF1] Feigin, B. and Frenkel, E.: The family of representations of affine Lie algebras, Russian Math. Survey43 (1988) 221-222. Zbl0668.17015MR971497
3. [FF2] Feigin, B. and Frenkel, E.: Affine Kac-Moody algebras and semi-infinite flag, Comm. Math. Phys.128 (1990) 161-189. Zbl0722.17019MR1042449
4. [FF3] Feigin, B. and Frenkel, E.: Affine Kac-Moody algebras at the critical level and Gelfand-Dikii algebras, Int. J. Math. Phys. A7 (1992) 197-215. Zbl0925.17022MR1187549
5. [F] Frenkel, E.: Affine Kac-Moody Algebras at the Critical Level and Quantum Drinfeld-Sokolov Reduction, Harvard Thesis 1990. 
6. [GW] Goodman, R. and Wallach, N.: Higher order Sugawara operators for affine Kac-Moody algebras, Trans. A.M.S.315 (1989) 1-66. Zbl0676.17013MR958893
7. [H] Hayashi, T.: Sugawara operators and Kac-Kazdhan conjecture, Inv. Math.94 (1988) 13-52. Zbl0674.17005MR958588
8. [J] Jacobson, N.: Lie Algebras, New York, Interscience (1962). Zbl0121.27504MR143793
9. [K] Kac, V.G.: Infinite dimensional Lie algebras, Birkhauser, Prog. in Math.44 (1983). Zbl0537.17001MR739850
10. [KK] Kac, V.G. and Kazdhan, D.: Structure of representations with highest weight of infinite dimensional Lie algebras, Adv. Math.34 (1979) 97-108. Zbl0427.17011MR547842
11. [Ku] Ku, J.M.: Structure of the module M(-p) for euclidean Lie algebras, J. ofAlg.124 (1989) 367-387. Zbl0693.17013MR1011602
12. [M1] Malikov, F.: Singular vectors corresponding to imaginary roots in Verma modules over affine Lie algebras, Math. Scan.66 (1986) 73-90. Zbl0687.17009MR1060899
13. [Mt1] Mathieu, O.: Formules de caractères pour les algèbres de Kac-Moody générales, Astérisque (1988) 159-160. Zbl0683.17010MR980506
14. [Mt2] Mathieu, O.: Construction du groupe de Kac-Moody et applications, Comp. Math.69 (1989) 37-60. Zbl0678.17012MR986812
15. [Mt3] Mathieu, O.: Bicontinuity of the Dixmier map, Journal of the A.M.S.4 (1991) 837-863. Zbl0743.17013MR1115787
16. [Mt 4] Mathieu, O.: On the endomorphism ring of some modular Verma modules at the critical level, Preprint. 
17. [T 1] Tits, J.: Groups and group functions attached to Kac-Moody data, Springer-Verlag, Lect. Notes in Math.111 (1985) 193-223. Zbl0572.17010MR797422
18. [T 2] Tits, J.: Groupes et Algèbres de Kac-Moody, Résumé de cours, Collége de France (1982-1983). 
19. [Wt] Wakimoto, M.: Fock representation of the affine Lie algebra A1(1), Comm. Math. Phys.104 (1986) 604-609. Zbl0587.17009MR841673