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Humphreys, J. E.

Ordinary and modular characters of \(\mathrm{SL}(3,p)\). (English) Zbl 0474.20021

J. Algebra 72, 8-16 (1981).
Reviewer: G. E. Wall
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0474.20021

Cited in 3 Reviews
Cited in 13 Documents

MSC:

20G05 Representation theory for linear algebraic groups
20C20 Modular representations and characters
20G40 Linear algebraic groups over finite fields

Keywords:

\(p\)-modular decomposition matrix; modular irreducible characters; modular principal indecomposable characters; virtual Brauer characters; Steinberg character; class function; semisimple elements; Deligne-Lusztig virtual characters; Brauer complex; block

Citations:

Zbl 0427.20033; Zbl 0264.20010; Zbl 0341.20037
Cite Review PDF
Full Text: DOI

References:

[1] Ballard, J. W., Projective modules for finite Chevalley groups, Trans. Amer. Math. Soc., 245, 221-249 (1978) · Zbl 0436.20028
[2] Chastkofsky, L., Characters of principal indecomposable modules for finite Chevalley groups, (Proceedings of Symposia in Pure Mathematics, Vol. 37 (1980), Amer. Math. Soc: Amer. Math. Soc Providence, R. I) · Zbl 0471.20028
[3] Chastkofsky, L.; Feit, W., On the projective characters in characteristic 2 of the groups \(SL_3(2^m )\) and \(SU_3(2^m )\), J. Algebra, 63, 124-142 (1980) · Zbl 0447.20008
[4] Humphreys, J. E., Some computations of Cartan invariants for finite groups of Lie type, Comm. Pure Appl. Math., 26, 745-755 (1973) · Zbl 0358.20013
[5] Humphreys, J. E., Weyl groups, deformations of linkage classes, and character degrees for Chevalley groups, Comm. Algebra, 1, 475-490 (1974) · Zbl 0286.20055
[6] Humphreys, J. E., Ordinary and modular representations of Chevalley groups, (Lecture Notes in Mathematics No. 528 (1976), Springer: Springer Berlin) · Zbl 0919.17013
[7] Humphreys, J. E., Modular representations of finite groups of Lie type, (Finite Simple Groups II (1980), Academic Press: Academic Press London) · Zbl 0472.20015
[8] Humphreys, J. E., Cartan invariants and decomposition numbers of Chevalley groups, (Proceedings of Symposia in Pure Mathematics, Vol. 37 (1980), Amer. Math. Soc: Amer. Math. Soc Providence, R. I) · Zbl 0451.20038
[9] Humphreys, J. E., Deligne-Lusztig characters and principal indecomposable modules, J. Algebra, 62, 299-303 (1980) · Zbl 0427.20033
[10] Jantzen, J. C., Zur Reduktion modulo \(p\) der Charaktere von Deligne und Lusztig, J. Algebra (1981) · Zbl 0477.20024
[11] Lusztig, G., Representations of finite Chevalley groups, (C. B. M. S. Regional Conf. Series No. 39 (1978), Amer. Math. Soc: Amer. Math. Soc Providence, R. I) · Zbl 0372.20033
[12] Simpson, W.; Frame, J. S., The character tables for \(SL (3, q), SU (3, q^2), PSL (3,q), PSU (3,q^2)\), Can. J. Math., 25, 486-494 (1973) · Zbl 0264.20010
[13] Zaslawsky, E., Computational methods applied to ordinary and modular characters of some finite simple groups, (Ph.D. thesis (1974), University of California: University of California Santa Cruz)
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