×

zbMATH — the first resource for mathematics

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

MSC:
20G99 Linear algebraic groups and related topics
20J05 Homological methods in group theory
PDF BibTeX XML Cite
Full Text: DOI EuDML
References:
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.