## Affine root systems and Dedekind’s $$\eta$$-function.(English)Zbl 0244.17005

### MSC:

 17B20 Simple, semisimple, reductive (super)algebras 11F22 Relationship to Lie algebras and finite simple groups

Zbl 0271.01005
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### References:

 [1] Bourbaki, N.: Groupes et algèbres de Lie, Chapitres 4, 5, et 6. Paris: Hermann 1969. · Zbl 0205.06001 [2] Bruhat, F., Tits, J.: Groupes réductifs sur un corps local. Publ. Math. I.H.E.S., 41 (to appear). · Zbl 0636.20027 [3] Freudenthal, H., Vries, H. de: Linear Lie groups. New York: Academic Press 1969. · Zbl 0377.22001 [4] Hardy, G. H., Wright, E. M.: Introduction to the theory of numbers (4th edition). Oxford: Oxford University Press 1959. · Zbl 0020.29201 [5] Kostant, B.: The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group. Amer. J. Math.81, 973-1032 (1959). · Zbl 0099.25603 [6] Macdonald, I. G.: The Poincaré series of a Coxeter group (to appear). [7] Winquist, L.: Elementary proof ofp(11m+6)?0 (mod 11). J. Comb. Theory6, 56-59 (1969). · Zbl 0241.05006 [8] Moody, R. V.: A new class of Lie algebras. J. Alg.10, 211-230 (1968). · Zbl 0191.03005 [9] ?: Euclidean Lie algebras. Can. J. Math.21, 1432-1454 (1969). · Zbl 0194.34402
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