@incollection{AST_1985__S131__289_0,
author = {Mostow, G. D.},
title = {Discrete subgroups of {Lie} groups},
booktitle = {\'Elie Cartan et les math\'ematiques d'aujourd'hui - Lyon, 25-29 juin 1984},
series = {Ast\'erisque},
pages = {289--309},
year = {1985},
publisher = {Soci\'et\'e math\'ematique de France},
number = {S131},
mrnumber = {837205},
zbl = {0605.22008},
language = {en},
url = {https://www.numdam.org/item/AST_1985__S131__289_0/}
}
TY - CHAP AU - Mostow, G. D. TI - Discrete subgroups of Lie groups BT - Élie Cartan et les mathématiques d'aujourd'hui - Lyon, 25-29 juin 1984 AU - Collectif T3 - Astérisque PY - 1985 SP - 289 EP - 309 IS - S131 PB - Société mathématique de France UR - https://www.numdam.org/item/AST_1985__S131__289_0/ LA - en ID - AST_1985__S131__289_0 ER -
%0 Book Section %A Mostow, G. D. %T Discrete subgroups of Lie groups %B Élie Cartan et les mathématiques d'aujourd'hui - Lyon, 25-29 juin 1984 %A Collectif %S Astérisque %D 1985 %P 289-309 %N S131 %I Société mathématique de France %U https://www.numdam.org/item/AST_1985__S131__289_0/ %G en %F AST_1985__S131__289_0
Mostow, G. D. Discrete subgroups of Lie groups, dans Élie Cartan et les mathématiques d'aujourd'hui - Lyon, 25-29 juin 1984, Astérisque, no. S131 (1985), pp. 289-309. https://www.numdam.org/item/AST_1985__S131__289_0/
[1] . - Topology of Lie groups and characteristic classes, Bull. Amer. Math. Soc., t. 61, 1955, p. 397-432. | MR | Zbl | DOI
[2] . - Introduction aux Groupes Arithmétiques. - Hermann, 1969. | MR | Zbl
[3] , . - Arithmetic subgroups of algebraic groups, Ann. Math., t. 75, 1962, p. 485-535. | MR | Zbl | DOI
[4] - An application of the Morse theory to the topology of Lie groups, Bull. Soc. Math. Fr., t. 84, 1956, p. 251-282. | DOI | MR | Zbl | EuDML | Numdam
[5] - The stable homotopy groups of the classical groups, Ann. Math., t. 70, 1954, p. 313-337. | MR | Zbl | DOI
[6] . - La théorie des groupes finis et continus et l'Analysis Situs, Mém. Sc. Math., t. 52, 1930, p. 1-61, | JFM | Numdam
. - La théorie des groupes finis et continus et l'Analysis Situs, Oeuvres Complètes, Vol. I, p. 1165-1226. | MR
[7] , . - Monodromy of hypergeometric functions and non-lattice integral monodromy. - Publ. I.H.E.S., 1985 (to appear). | MR | Zbl | EuDML | Numdam
[8] . - Specimen transformations singularis serierum, September 3, 1778. Nova Acta Petropolitana, Bd XII 1801, p. 58-78.
[9] . - Arrangement of lines and algebraic surfaces, Arithmetic and Geometry, Vol. II, Progress in Math, t. 36, 1983, p. 113-140, Birkhauser, Boston. | MR | Zbl
[10] . - On a class of discrete groups in Lobachevsky space having an unbounded fundamental domain of finite measure, Dokl. Akad. Nauk SSSR, t. 167, 1966, p. 30-33. | MR | Zbl
[11] . - On a class of homogeneous spaces, Izv. Akad. Nauk SSSR, Ser. Mat., t. 13, 1949, p. 9-32. | MR
[12] . - Arithmetic properties of discrete groups, Uspehi Mat. Nauk, t. 29, 1974, p. 49-98. | MR | Zbl
[13] . - Discrete groups of motions of manifolds of non-positive curvature. - Proc. Int. Congr. of Math., Vancouver 1974. | Zbl | MR
[14] . - The extensibility of local Lie groups of transformations and groups on surfaces, Ann. Math., t. 52, 1950, p. 606-636. | MR | Zbl | DOI
[15] . - Factor spaces of solvable groups, Ann. Math., t. 60, 1954, p. 1-27. | MR | Zbl | DOI
[16] . - Covariant fibering of Klein spaces II, Amer. J. Math., t. 84, 1962, p. 466-474. | MR | Zbl | DOI
[17] . - Strong Rigidity of Locally Symmetric Spaces. - Ann. Math. Studies, Vol. 78, Princeton Univ. Press, 1973. | MR | Zbl
[18] . - On a remarkable class of polyhedra in , Pacific J. Math., t. 86, 1980, p. 171-276. | Zbl | MR | DOI
[19] . - On the existence of non-arithmetic monodromy groups, Proc. Nat. Acad. Sci., t. 78, 1981, p. 5948-50. | Zbl | MR | DOI
[20] . - Generalized Picard lattices arising from half-integral conditions, (to appear).
[21] . - Lattices in , (to appear). | Zbl | MR
[22] , . - On the compactness of arithmetically defined homogeneous spaces, Ann. Math., t. 76, 1962, p. 440-463. | MR | Zbl
[23] , . - A compact Kaehler surface of negative curvature not covered by the ball, Ann. Math., t. 112, 1980, p. 321-360. | MR | Zbl | DOI
[24] . - Geometric Invariant Theory, Springer, 1965. | Zbl | MR | DOI
[25a] . - Sur les functions hyperfuchsiennes provenant des séries hypergéométriques de deux variables, Ann. ENS III, t. 2, 1885, p. 357-384. | MR | JFM | EuDML | Numdam
[25b] . - Sur les functions hyperfuchsiennes provenant des séries hypergéométriques de deux variables, Bull. Soc. Math. France, t. 15, 1887, p. 148-152. | DOI | MR | JFM | EuDML | Numdam
[26] . - Discrete subgroups of Lie groups. - Springer 1972. | MR | Zbl | DOI
[27] . - On discontinuous groups in higher-dimensional symmetric spaces, Intern. Coll. on Function Theory, Tata Inst., Bombay 1960, p. 147-164. | MR | Zbl
[28] . - Über diejenige Fälle, in welchen die Gaussische hypergeometrische Reihe eine algebraische Funktion ihres vierten Elementes darstellt, J. für Math., t. 75, 1873, p. 292-335. | MR | EuDML
[29] . - Discrete groups generated by reflections in Lobachevsky spaces, Mat. Sb. (NS), t. 72 (114), 1967, p. 471-488. | MR | Zbl | EuDML
[30] . - The unimodular integral quadratric forms Funkcional Anal, i Prilozhen t. 6, 1972. | MR | Zbl
[31] . - The non-existence of arithmetic crystallographic groups generated by reflections in Lobachevsky space of dimension , 1982, (preprint in Russian). | MR
[32] . - Theorie der Darstellung kontinuierlicher halb-einfacher Gruppen durch lineare Transformationen I, Math. Z., t. 23, 1925, p. 271-309 | MR | JFM | EuDML | DOI
. - Theorie der Darstellung kontinuierlicher halb-einfacher Gruppen durch lineare Transformationen, II, III, Math. Z., t. 24, 1926, p. 328-376 ; p. 377-395. | JFM | MR | EuDML | DOI
[33] . - Fonctions hypergéométriques et fonctions automorphes I, Math. Soc. Japan, t. 35, 1983, p. 451-475. | MR | Zbl | DOI
[34] . - Orbifold-uniformizing differential equations, Math. Ann., t. 267, 1984, p. 125-142. | MR | Zbl | EuDML | DOI







