Weil Modules with Highest Weight for Affine Lie Algebras on Riemann Surfaces
Funkcionalʹnyj analiz i ego priloženiâ, Tome 29 (1995) no. 1, pp. 56-71.

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O. K. Sheinman. Weil Modules with Highest Weight for Affine Lie Algebras on Riemann Surfaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 29 (1995) no. 1, pp. 56-71. http://geodesic.mathdoc.fr/item/FAA_1995_29_1_a4/

[1] Krichever I. M., Novikov S. P., “Algebry tipa Virasoro, rimanovy poverkhnosti i struktury teorii solitonov”, Funkts. analiz i ego pril., 21:2 (1987), 46–63 | MR | Zbl

[2] Krichever I. M., Novikov S. P., “Algebry tipa Virasoro, rimanovy poverkhnosti i struny v prostranstve Minkovskogo”, Funkts. analiz i ego pril., 21:4 (1987), 47–61 | MR | Zbl

[3] Krichever I. M., Novikov S. P., “Algebry tipa Virasoro, tenzor energii-impulsa i operatornye razlozheniya na rimanovykh poverkhnostyakh”, Funkts. analiz i ego pril., 23:1 (1989), 24–40 | MR | Zbl

[4] Jaffe A., Klimek S., Lesniewsky A., Representations of the Heisenberg algebra on a Riemann surface, Hurward Univerity Preprint HUTMP 89/B293, 1989 | MR

[5] Sheinman O. K., “Ellipticheskie affinnye algebry Li”, Funkts. analiz i ego pril., 24:3 (1990), 51–61 | MR

[6] Sheinman O. K., “Affinnye algebry Li na rimanovykh poverkhnostyakh”, Funkts. analiz i ego pril., 27:4 (1993), 54–62 | MR | Zbl

[7] Frenkel I. B., “Orbital theory of affine Lie algebras”, Invent. Math., 77:2 (1984), 301–352 | DOI | MR | Zbl

[8] Segal G., “Unitary representations of some infinite dimensional groups”, Comm. Math. Phys., 80:3 (1981), 301–342 | DOI | MR | Zbl

[9] Bernshtein I. N., Gelfand I. M., Gelfand S. I., “Struktura predstavlenii, porozhdennykh vektorami starshego vesa”, Funkts. analiz i ego pril., 5:1 (1971), 1–9 | MR | Zbl

[10] Kac V., “Infinite-dimensional algebras, Dedekind's $\eta$-function and the very strange formula”, Adv. Math., 30 (1978), 85–136 | DOI | MR | Zbl

[11] Novikov S. P., “Dvumernye operatory Shredingera v periodicheskikh polyakh”, Itogi nauki i tekhniki, Sovremennye problemy matematiki, 23, VINITI, M., 1983, 3–32

[12] Krichever I. M., “Nelineinye uravneniya i ellipticheskie krivye”, Itogi nauki i tekhniki, Sovremennye problemy matematiki, 23, VINITI, M., 1983, 79–136 | MR

[13] Diksme Zh., Universalnye obertyvayuschie algebry, Mir, M., 1978 | MR