The arithmetic theory of loop groups

 Access to full text

 Full (PDF)

1. [1] A. BOREL, Introduction aux groupes arithmétiques, Paris, Hermann, 1969. Zbl0186.33202MR39 #5577
2. [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. Zbl0334.22012MR56 #3196
3. [3] N. BOURBAKI, Groupes et algèbres de Lie, chap. 4, 5 et 6, Paris, Hermann, 1968. 
4. [4] F. BRUHAT et J. TITS, Groupes réductifs sur un corps local, Publ. Math. I.H.E.S., 41 (1972), 1-251. Zbl0254.14017MR48 #6265
5. [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. Zbl0263.14016MR37 #6396
6. [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. Zbl0322.18010MR52 #8204
7. [7] H. GARLAND, The arithmetic theory of loop algebras, J. Algebra, 53 (1978), 480-551. Zbl0383.17012MR80a:17012
8. [8] H. GARLAND and J. LEPOWSKY, Lie algebra homology and the Macdonald-Kac formulas, Inventions math., 34 (1976), 37-76. Zbl0358.17015MR54 #2744
9. [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. Zbl0228.20015MR32 #2486
10. [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. Zbl0222.17007
11. [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. Zbl0299.17005MR51 #10410
12. [12] R. MARCUSON, Tits systems in generalized nonadjoint Chevalley groups, J. Algebra, 34 (1975), 84-96. Zbl0338.20054MR53 #3146
13. [13] H. MATSUMOTO, Sur les sous-groupes arithmétiques des groupes semi-simples déployés, Ann. Scient. Éc. Norm. Sup., 2 (4th series) (1969), 1-62. Zbl0261.20025MR39 #1566
14. [14] J. MILNOR, Introduction to algebraic K-theory, Princeton, Princeton University Press, 1971. Zbl0237.18005MR50 #2304
15. [15] R. V. MOODY, A new class of Lie algebras, J. Algebra, 10 (1968), 211-230. Zbl0191.03005MR37 #5261
16. [16] R. V. MOODY, Euclidean Lie algebras, Can. J. Math., 21 (1969), 1432-1454. Zbl0194.34402MR41 #287
17. [17] R. V. MOODY and K. L. TEO, Tits' systems with crystallographic Weyl groups, J. Algebra, 21 (1972), 178-190. Zbl0232.20089MR47 #8705
18. [18] C. C. MOORE, Group extensions of p-adic and adelic linear groups, Publ. Math. I.H.E.S., 35 (1968), 157-222. Zbl0159.03203MR39 #5575
19. [19] J.-P. SERRE, Algèbres de Lie semi-simples complexes, New York, Benjamin, 1966. Zbl0144.02105MR35 #6721
20. [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. Zbl0272.20036MR27 #3638
21. [21] R. STEINBERG, Lectures on Chevalley groups, Yale University mimeographed notes, 1967. 

1. Christian Kassel, Jean-Louis Loday, Extensions centrales d'algèbres de Lie
2. Michel Crétin, Algèbres de Lie semi-simples et affines
3. Pierre Cartier, Homologie cyclique : rapport sur des travaux récents de Connes, Karoubi, Loday, Quillen...
4. Daniel Guin, Cohomologie des algèbres de Lie croisées et $K$-théorie de Milnor additive
5. Peter Slodowy, A character approach to Looijenga's invariant theory for generalized root systems
6. Jacques Tits, Groupes associés aux algèbres de Kac-Moody
7. Jean-Luc Brylinski, Pierre Deligne, Central extensions of reductive groups by $K_2$