Discrete subgroups of lie groups

Advances in Mathematics - Tập 16 - Trang 112-123 - 1975
G.D Mostow1
1Department of Mathematics, Yale University, New Haven, Connecticut 06520 USA

Tài liệu tham khảo

Borel, 1955, Topology of Lie groups and characteristic classes, Bull. Amer. Math. Soc., 61, 397, 10.1090/S0002-9904-1955-09936-1 Borel, 1962, Arithmetic subgroups of algebraic groups, Ann. of Math., 75, 485, 10.2307/1970210 Bott, 1956, An application of the Morse theory to the topology of Lie groups, Bull. Soc. Math. France, 84, 251, 10.24033/bsmf.1472 Bott, 1959, The stable homotopy of the classical groups, Ann. of Math., 70, 313, 10.2307/1970106 Fricke, 1897, Vol. 1 Garland, 1970, Fundamental domains for lattices in R-rank 1 semi-simple Lie groups, Ann. of Math., 92, 279, 10.2307/1970838 Hochschild, 1957, Representations and representative functions of Lie groups, Ann. of Math., 66, 495, 10.2307/1969906 1969, Amer. J. Math., 91, 1127, 10.2307/2373319 Kazdan, 1968, A proof of Selberg's hypothesis, Math. Sbornik (N. S.), 75, 162 Malcev, 1949, On a class of homogeneous spaces, Izv. Akad. Nauk SSSR Ser. Mat., 13, 9 1951, Amer. Math. Soc. Transl. Margulis, 1969, On the arithmeticity of discrete subgroups, Soviet Math. Dokl., 10, 900 G. A. Margulis, Non-uniform lattices in semi-simple algebraic groups, Proc. Soviet Summer School 1970 (Budapest), to appear. Margulis, 1973, Arithmeticity of non-uniform lattices, Funkcional. Anal. i Priložen, 7, 88 Massey, 1974, Finite coverings of 2-manifolds with boundary, Duke J. Math., 41, 875, 10.1215/S0012-7094-74-04187-8 Mostow, 1962, Covariant fiberings of Klein spaces II, Amer. J. Math., 84, 466, 10.2307/2372983 Mostow, 1950, The extensibility of local Lie groups of transformations and groups on surfaces, Ann. of Math., 52, 606, 10.2307/1969437 Mostow, 1966, On the conjugacy of subgroups of semi-simple groups, 9, 413 Mostow, 1970 Mostow, 1967, Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms, Publ. IHES, 34, 53, 10.1007/BF02684590 Mostow, 1970, The rigidity of locally symmetric spaces, 2, 187 Mostow, 1973, Strong Rigidity of Locally Symmetric Spaces, Vol. 78 Mostow, 1954, Factor spaces of solvable groups, Ann. of Math., 60, 1, 10.2307/1969700 Mostow, 1962, Homogeneous spaces of finite invariant measure, Ann. of Math., 75, 17, 10.2307/1970416 Mostow, 1970, Representative functions on discrete groups and solvable arithmetic groups, Amer. J. Math., 92, 1, 10.2307/2373495 Mostow, 1971, Arithmetic subgroups of groups with radical, Ann. of Math., 93, 409, 10.2307/1970882 G. D. Mostow, On the topology of homogeneous spaces of finite measure, in “Proc. Symposium on Lie Groups and Topological Groups, Rome 1974,” to appear. Mostow, 1962, On the compactness of arithmetically defined homogeneous spaces, Ann. of Math., 76, 440, 10.2307/1970368 Prasad, 1973, Strong rigidity of Q-rank 1 lattices, Invent. Math., 21, 255, 10.1007/BF01418789 Raghunathan, 1972 M. S. Raghunathan, Discrete groups and Q-structures on semi-simple Lie groups, to appear. Selberg, 1960, On discontinuous groups in higher dimensional symmetric spaces, 147 Siegel, 1943, Discontinuous groups, Ann. of Math., 44, 674, 10.2307/1969104 Tits, 1974, Buildings of Spherical Type and Finite B–N Pairs, 386 Weil, 1960, On discrete subgroups of Lie groups, Ann. of Math., 72, 364, 10.2307/1970140 Weil, 1962, On discrete subgroups of Lie groups II, Ann. of Math., 75, 578, 10.2307/1970212 Weil, 1964, Remarks on cohomology of groups, Ann. of Math., 80, 149, 10.2307/1970495