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Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs. (English) Zbl 0254.20004


MSC:

20C15 Ordinary representations and characters
20C05 Group rings of finite groups and their modules (group-theoretic aspects)

References:

[1] MarkBenard,On the Schur indices of the characters of the exceptional Weyl groups, Ph. D. dissertation, Yale University, 1969.
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[10] J. S. Frame, The double cosets of a finite groups,Bull. Amer. Math. Soc.,47 (1941), 458–467. · Zbl 0027.15201 · doi:10.1090/S0002-9904-1941-07479-3
[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. · Zbl 0135.07101
[12] ——, On some properties of groups with (B, N)-pairs,Theory of Finite Groups, Brauer, Sah. ed., N. Y., W. A. Benjamin, 1969.
[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.
[15] D. E. Littlewood,Theory of Group Characters, Oxford, 1940. · JFM 66.0093.02
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[17] H. Matsumoto, Générateurs et relations des groupes de Weyl généralisés,C. R. Acad. Sci. Paris,258 (1964), 3419–3422. · Zbl 0128.25202
[18] F. Richen, Modular representations of split BN-pairs,Trans. Amer. Math. Soc.,140 (1969), 435–460. · Zbl 0181.03801
[19] R. Steinberg, Finite reflection groups,Trans. Amer. Math. Soc.,91 (1959), 493–504. · Zbl 0092.13904 · doi:10.1090/S0002-9947-1959-0106428-2
[20] —,Lectures on Chevalley groups (lecture notes), Yale University, 1967.
[21] O. Zariski andP. Samuel,Commutative Algebra, II, N. Y., Van Nostrand, 1960.
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