On defining relations of certain infinite-dimensional Lie algebras

Gabber, Ofer; Kac, Victor G.

doi:10.1090/S0273-0979-1981-14940-5

Bulletin of the American Mathematical Society

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ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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On defining relations of certain infinite-dimensional Lie algebras
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by Ofer Gabber and Victor G. Kac PDF

Bull. Amer. Math. Soc. 5 (1981), 185-189

References

N. Bourbaki, Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1337, Hermann, Paris, 1968 (French). MR 0240238
V. G. Kac, Simple irreducible graded Lie algebras of finite growth, Izv. Akad. Nauk SSSR Ser. Mat. 32 (1968), 1323–1367 (Russian). MR 0259961
V. G. Kac, Infinite-dimensional Lie algebras, and the Dedekind $\eta$-function, Funkcional. Anal. i Priložen. 8 (1974), no. 1, 77–78 (Russian). MR 0374210
V. G. Kac, On simplicity of certain infinite-dimensional Lie algebras, Bull. Amer. Math. Soc. (N.S.) 2 (1980), no. 2, 311–314. MR 555269, DOI 10.1090/S0273-0979-1980-14746-1
Jean-Pierre Serre, Algèbres de Lie semi-simples complexes, W. A. Benjamin, Inc., New York-Amsterdam, 1966 (French). MR 0215886