The Poincaré series of a Coxeter group. (English) Zbl 0286.20062


20G99 Linear algebraic groups and related topics
20J05 Homological methods in group theory
Full Text: DOI EuDML


[1] Atiyah, M. F., Bott, R.: A Lefschetz fixed point formula for elliptic complexes: II. Applications, Annals of Math.88, 451-491 (1968). · Zbl 0167.21703
[2] Borel, A., Tits, J.: Groupes Réductifs. Publ. Math. de l’I.H.E.S. no.27, 57-152 (1965).
[3] Bott, R.: An application of the Morse theory to the topology of Lie groups, Bull. Soc. Math. France84, 251-282 (1958). · Zbl 0073.40001
[4] Bourbaki, N.: Groupes et Algèbres de Lie, chapitres IV, V, VI, Paris: Hermann 1968. · Zbl 0186.33001
[5] Kostant, B.: The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group, Amer. J. Maths.81, 973-1032 (1959). · Zbl 0099.25603
[6] Macdonald, I. G.: Spherical functions on a group ofp-adic type, Publications of the Ramanujan Institute No. 2, Madras, 1971.
[7] Serre, J.-P.: Cohomologie des groupes discrets, in Prospects in Mathematics, Annals of Math. Studies No. 70, Princeton, 1971. · Zbl 0229.57016
[8] Solomon, L.: The orders of the finite Chevalley groups, J. Algebra3, 376-393 (1966). · Zbl 0151.02003
[9] Steinberg, R.: Endomorphisms of linear algebraic groups, Memoirs of the Amer. Math. Soc. No. 80, 1968. · Zbl 0164.02902
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