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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
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References:
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[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
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