@article{ASENS_1992_4_25_3_287_0, author = {Yang, Jun}, title = {On the real cohomology of arithmetic groups and the rank conjecture for number fields}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {287--306}, publisher = {Elsevier}, volume = {Ser. 4, 25}, number = {3}, year = {1992}, doi = {10.24033/asens.1651}, mrnumber = {93g:11056}, zbl = {0770.11028}, language = {en}, url = {http://www.numdam.org/articles/10.24033/asens.1651/} }
TY - JOUR AU - Yang, Jun TI - On the real cohomology of arithmetic groups and the rank conjecture for number fields JO - Annales scientifiques de l'École Normale Supérieure PY - 1992 SP - 287 EP - 306 VL - 25 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.24033/asens.1651/ DO - 10.24033/asens.1651 LA - en ID - ASENS_1992_4_25_3_287_0 ER -
%0 Journal Article %A Yang, Jun %T On the real cohomology of arithmetic groups and the rank conjecture for number fields %J Annales scientifiques de l'École Normale Supérieure %D 1992 %P 287-306 %V 25 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.24033/asens.1651/ %R 10.24033/asens.1651 %G en %F ASENS_1992_4_25_3_287_0
Yang, Jun. On the real cohomology of arithmetic groups and the rank conjecture for number fields. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 25 (1992) no. 3, pp. 287-306. doi : 10.24033/asens.1651. http://www.numdam.org/articles/10.24033/asens.1651/
[Bei] Higher Regulators and Values of L-Functions, English translations, (J. Soviet Math., Vol. 30, No. 2, 1985, pp. 2036-2070). | Zbl
,[B1] Higher Regulators, Algebraic K-Theory, and Zeta Functions of Elliptic Curves (Lect. Notes, U.C. Irvine, 1978).
,[B1] Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts (Ann. Math., Vol. 57, 1953, pp. 115-207). | MR | Zbl
,[B2] Introduction aux groupes arithmétiques, Publ. Inst. Math., Univ. Strasbourg, No. 15 (Actualites Sci. Indust., No. 1341, Hermann, Paris, 1969). | MR | Zbl
,[B3] Stable Real Cohomology of Arithmetic Groups (Ann. Sci. Ec. Norm. Sup., 4, T. 7, 1974, pp. 235-272). | EuDML | Numdam | MR | Zbl
,[B4] Cohomologie de SLn et valeurs de fonctions zeta (Ann. Scuola Normale Superiore, Vol. 7, 1974, pp. 613-636). | EuDML | Numdam | Zbl
,[B5] Stable Real Cohomology of Arithmetic Groups II (Prog. Math. Boston, Vol. 14, 1981, pp. 21-55). | MR | Zbl
,[BS] Corners and Arithmetic Groups (Comment. Math. Helv., Vol. 48, 1974, pp. 244-297). | EuDML | MR | Zbl
and ,[BT] Groupes réductifs, (Publ. Math. I.H.E.S., Vol. 27, 1965, pp. 55-150). | EuDML | Numdam | MR | Zbl
and ,[Gi] Riemann-Roch Theorems for Higher Algebraic K-Theory (Adv. Math., Vol. 40, 1981, pp. 203-289). | MR | Zbl
,[VE] On the Algebraic Cohomology Concepts in Lie Groups II (Proc. Konink. Nederl. Akad. v. Wet., Series A, Vol. 58, 1955, pp. 286-294). | MR | Zbl
,[Ga] A Finiteness Theorem for K2 of a Number Field (Ann. Math., vol. 94, No. 2, 1971, pp. 534-548). | MR | Zbl
,[Go] The Classical Three Logarithm, Algebraic K-Theory of Fields and Dedekind Zeta Functions (Bull. AMS., vol. 24, No. 1, 1991, pp. 155-162). | MR | Zbl
,[H] λ-Rings and Algebraic K-Theory (J. Pure Appl. Algebra, Vol. 20, No. 3, 1981, pp. 241-266. | MR | Zbl
,[HM] Higher Logarithms, III (J. Math., Vol. 34, No. 2, 1990, pp. 392-475). | MR | Zbl
and ,[L] K-théorie algébrique et représentations de groupes (Ann. Sci. Ec. Norm. Sup., T. 9, 1976, pp. 41-377). | Numdam | MR | Zbl
,[MM] On the Structure of Hopf Algebras (Ann. Math., Vol. 81, No. 2, 1965, pp. 211-264). | MR | Zbl
and ,[Rh] Differentiable Manifolds, English Translation, Springer-Verlag, 1984. | MR | Zbl
,[W] Adeles and Algebraic Groups, Notes by M. DEMAZURE and T. ONO, The Institute for Advanced Study, Princeton, 1961.
,[Y] Algebraic k-groups of Number Fields and the Hain-MacPherson Trilogarithm, Thesis, 1991.
,[Z] The Bloch-Wigner-Ramakrishnan Polylogarithm Function (Math. Ann., Vol. 286, No. 1-3, 1990, pp. 613-624). | MR | Zbl
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