Hecke algebras and characters of parabolic type of finite group with (B,N)-pairs
Curtis, Charles W. ; Iwahori, Nagoyashi ; Kilmoyer, Robert
Publications Mathématiques de l'IHÉS, Tome 40 (1971), p. 81-116 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{PMIHES_1971__40__81_0,
     author = {Curtis, Charles W. and Iwahori, Nagayoshi and Kilmoyer, Robert},
     title = {Hecke algebras and characters of parabolic type of finite group with $(B, N)$-pairs},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     volume = {40},
     year = {1971},
     pages = {81-116},
     mrnumber = {50 \#494},
     zbl = {0254.20004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/PMIHES_1971__40__81_0}
}

Curtis, Charles W.; Iwahori, Nagoyashi; Kilmoyer, Robert. Hecke algebras and characters of parabolic type of finite group with $(B, N)$-pairs. Publications Mathématiques de l'IHÉS, Tome 40 (1971) pp. 81-116. http://gdmltest.u-ga.fr/item/PMIHES_1971__40__81_0/

[1] Mark Benard, On the Schur indices of the characters of the exceptional Weyl groups, Ph. D. dissertation, Yale University, 1969. | MR 2619276

[2] N. Bourbaki, Algèbre commutative, chap. 5, 6, Paris, Hermann, 1964. | Zbl 0205.34302

[3] N. Bourbaki, Groupes et algèbres de Lie, chap. 4, 5, 6, Paris, Hermann, 1968.

[4] R. W. Carter, Simple groups and simple Lie algebras, J. London Math. Soc., 40 (1965), 193-240. | MR 30 #4855 | Zbl 0232.20017

[5] C. W. Curtis, The Steinberg character of a finite group with a (B, N)-pair, J. Algebra, 4 (1966), 433-441. | MR 34 #1406 | Zbl 0161.02203

[6] C. W. Curtis and T. Fossum, On centralizer rings and characters of representations of finite groups, Math. Z., 107 (1968), 402-206. | MR 38 #5946 | Zbl 0185.06801

[7] C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, N. Y., John Wiley and Sons (Interscience), 1962. | MR 26 #2519 | Zbl 0131.25601

[8] W. Feit and G. Higman, The non-existence of generalized polygons, J. Algebra, 1 (1964), 114-131. | MR 30 #1189 | Zbl 0126.05303

[9] W. Feit, Characters of Finite Groups, N. Y., W. A. Benjamin, 1967. | MR 36 #2715 | Zbl 0166.29002

[10] J. S. Frame, The double cosets of a finite group, Bull. Amer. Math. Soc., 47 (1941), 458-467. | JFM 67.0978.01 | MR 2,307c | Zbl 0027.15201

[11] N. Iwahori, On the structure of the Hecke ring of a Chevalley group over a finite field, J. Faculty Science, Tokyo University, 10 (part 2), (1964), 215-236. | MR 29 #2307 | Zbl 0135.07101

[12] N. Iwahori, On some properties of groups with (B, N)-pairs, Theory of Finite Groups, Brauer, Sah. ed., N. Y., W. A. Benjamin, 1969. | Zbl 0227.20004

[13] R. Kilmoyer, Some irreducible complex representations of a finite group with a BN-pair. Ph. D. dissertation, M.I.T., 1969.

[14] S. Lang, Diophantine Geometry, N. Y., John Wiley and Sons (Interscience), 1962. | MR 26 #119 | Zbl 0115.38701

[15] D. E. Littlewood, Theory of Group Characters, Oxford, 1940. | JFM 66.0093.02 | Zbl 0025.00901

[16] G. Mackey, Symmetric and anti-symmetric Kronecker squares..., Amer. J. Math., 75 (1953), 387-405. | MR 14,947d | Zbl 0051.25903

[17] H. Matsumoto, Générateurs et relations des groupes de Weyl généralisés, C. R. Acad. Sci. Paris, 258 (1964), 3419-3422. | MR 32 #1294 | Zbl 0128.25202

[18] F. Richen, Modular representations of split BN-pairs, Trans. Amer. Math. Soc., 140 (1969), 435-460. | MR 39 #4299 | Zbl 0181.03801

[19] R. Steinberg, Finite reflection groups, Trans. Amer. Math. Soc., 91 (1959), 493-504. | MR 21 #5160 | Zbl 0092.13904

[20] R. Steinberg, Lectures on Chevalley groups (lecture notes), Yale University, 1967.

[21] O. Zariski and P. Samuel, Commutative Algebra, II, N. Y., Van Nostrand, 1960. | MR 22 #11006 | Zbl 0121.27801