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Garland, Howard
The arithmetic theory of loop groups. Publications Mathématiques de l'IHÉS, 52 (1980), p. 5-136
Full text djvu | pdf | Reviews MR 83a:20057 | Zbl 0475.17004 | 6 citations in Numdam

stable URL: http://www.numdam.org/item?id=PMIHES_1980__52__5_0

Bibliography

[1] A. BOREL, Introduction aux groupes arithmétiques, Paris, Hermann, 1969.  MR 39 #5577 |  Zbl 0186.33202
[2] A. BOREL, Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup, Inventiones math., 35 (1976), 233-259.
Article |  MR 56 #3196 |  Zbl 0334.22012
[3] N. BOURBAKI, Groupes et algèbres de Lie, chap. 4, 5 et 6, Paris, Hermann, 1968.
[4] F. BRUHAT et J. TITS, Groupes réductifs sur un corps local, Publ. Math. I.H.E.S., 41 (1972), 1-251.
Numdam |  MR 48 #6265 |  Zbl 0254.14017
[5] F. BRUHAT et J. TITS, Groupes algébriques simples sur un corps local, in the Proceedings of a Conference on Local Fields, held at Driebergen (The Netherlands), Edited by T. A. SPRINGER, New York, Springer-Verlag, 1967, pp. 23-36.  MR 37 #6396 |  Zbl 0263.14016
[6] H. GARLAND, Dedekind's η-function and the cohomology of infinite dimensional Lie algebras, Proc. Nat. Acad. Sci. (U.S.A.), 72 (1975), 2493-2495.  MR 52 #8204 |  Zbl 0322.18010
[7] H. GARLAND, The arithmetic theory of loop algebras, J. Algebra, 53 (1978), 480-551.  MR 80a:17012 |  Zbl 0383.17012
[8] H. GARLAND and J. LEPOWSKY, Lie algebra homology and the Macdonald-Kac formulas, Inventions math., 34 (1976), 37-76.
Article |  MR 54 #2744 |  Zbl 0358.17015
[9] N. IWAHORI and H. MATSUMOTO, On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups, Publ. Math. I.H.E.S., 25 (1965), 237-280.
Numdam |  MR 32 #2486 |  Zbl 0228.20015
[10] V. G. KAC, Simple irreductible graded Lie algebras of finite growth (in Russian), Izv. Akad. Nauk. SSSR, 32 (1968), 1323-1367 ; English translation : Math. USSR-Izvestija, 2 (1968), 1271-1311.  Zbl 0222.17007
[11] V. G. KAC, Infinite-dimensional Lie algebras and Dedekind's η-function (in Russian), Funkt. Anal. i Ego Prilozheniya, 8 (1974), 77-78 ; English translation : Functional Analysis and its Applications, 8 (1974), 68-70.  MR 51 #10410 |  Zbl 0299.17005
[12] R. MARCUSON, Tits systems in generalized nonadjoint Chevalley groups, J. Algebra, 34 (1975), 84-96.  MR 53 #3146 |  Zbl 0338.20054
[13] H. MATSUMOTO, Sur les sous-groupes arithmétiques des groupes semi-simples déployés, Ann. Scient. Éc. Norm. Sup., 2 (4th series) (1969), 1-62.
Numdam |  MR 39 #1566 |  Zbl 0261.20025
[14] J. MILNOR, Introduction to algebraic K-theory, Princeton, Princeton University Press, 1971.  MR 50 #2304 |  Zbl 0237.18005
[15] R. V. MOODY, A new class of Lie algebras, J. Algebra, 10 (1968), 211-230.  MR 37 #5261 |  Zbl 0191.03005
[16] R. V. MOODY, Euclidean Lie algebras, Can. J. Math., 21 (1969), 1432-1454.  MR 41 #287 |  Zbl 0194.34402
[17] R. V. MOODY and K. L. TEO, Tits' systems with crystallographic Weyl groups, J. Algebra, 21 (1972), 178-190.  MR 47 #8705 |  Zbl 0232.20089
[18] C. C. MOORE, Group extensions of p-adic and adelic linear groups, Publ. Math. I.H.E.S., 35 (1968), 157-222.
Numdam |  MR 39 #5575 |  Zbl 0159.03203
[19] J.-P. SERRE, Algèbres de Lie semi-simples complexes, New York, Benjamin, 1966.  MR 35 #6721 |  Zbl 0144.02105
[20] R. STEINBERG, Générateurs, relations et revêtements de groupes algébriques, in Colloque sur la Théorie des Groupes algébriques, held in Brussels, 1962, Paris, Gauthier-Villars, 1962, pp. 113-127.  MR 27 #3638 |  Zbl 0272.20036
[21] R. STEINBERG, Lectures on Chevalley groups, Yale University mimeographed notes, 1967.
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