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Infinite-dimensional Lie algebras and Dedekind’s \(\eta\)-function. (English. Russian original) Zbl 0299.17005

Funct. Anal. Appl. 8, 68-70 (1974); translation from Funkts. Anal. Prilozh. 8, No. 1, 77-78 (1974).

MSC:

17B65 Infinite-dimensional Lie (super)algebras
17B20 Simple, semisimple, reductive (super)algebras
11F03 Modular and automorphic functions
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References:

[1] I. G. MacDonald, Matematika,16, No. 4, 3–49 (1972).
[2] I. N. Bernshtein, I. M. Gel’fand, and S. I. Gel’fand, Funktsional. Analiz i Ego Prilozhen.,5, No. 1, 1–9 (1971). · Zbl 0246.17008 · doi:10.1007/BF01075841
[3] V. G. Kats, Izv. Akad. Nauk SSSR, Seriya Matem.,32, 1323–1367 (1968).
[4] V. G. Kats, Trudy MIÉM, No. 5, 48–59 (1969).
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