×

On the unipotent characters of the exceptional groups over finite fields. (English) Zbl 0443.20036


MSC:

20G05 Representation theory for linear algebraic groups
20G10 Cohomology theory for linear algebraic groups
20G40 Linear algebraic groups over finite fields
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Benson, C.T.: The generic degrees of the irreducible characters ofE 8, Comm. in Algebra7, 1199-1209 (1979) · Zbl 0416.20040 · doi:10.1080/00927877908822397
[2] Benson, C.T., Curtis, C.W.: On the degrees and rationality of certain characters of finite Chevalley groups, Trans. Amer. Math. Soc.165, 251-273 (1972),202, 405-406 (1975) · Zbl 0246.20008 · doi:10.1090/S0002-9947-1972-0304473-1
[3] Benson, C.T., Grove, L.C., Surowski, D.B.: Semilinear automorphisms and dimension functions for certain characters of finite Chevalley groups, Math. Z.,144, 149-159 (1977) · Zbl 0302.20013 · doi:10.1007/BF01190944
[4] Beynon, W.M., Lusztig, G.: Some numerical results on the characters of exceptional Weyl groups, Math. Proceedings Camb. Phil. Soc.84, 417-426 (1978) · Zbl 0416.20033 · doi:10.1017/S0305004100055249
[5] Carter, R.W.: Conjugacy classes in the Weyl group, Compositio Math.25, 1-59 (1972) · Zbl 0254.17005
[6] Chang, B., Ree, R.: The characters ofG 2(q), Ist. Naz. di Alta Mat. Sympos. Math.XIII, 385-413 (1974)
[7] Curtis, C.W.: Reduction theorems for characters of finite groups of Lie type, J. Math. Soc. Japan,27, 666-688 (1975) · Zbl 0382.20007 · doi:10.2969/jmsj/02740666
[8] Deligne, P., Lusztig, G.: Representations of reductive groups over finite fields, Ann. Math.103, 103-161 (1976) · Zbl 0336.20029 · doi:10.2307/1971021
[9] Frame, J.S.: The classes and representations of the groups of 27 lines and 28 bitangents. Ann. Mat. Pura Appl.32, 83-119 (1951) · Zbl 0045.00505 · doi:10.1007/BF02417955
[10] Frame, J.S.: The characters of the Weyl groupE 8, Computational problems in abstract algebra (Oxford conference 1967), (J. Leech, ed.) pp. 111-130
[11] Hoefsmit, P.N.: Representations of Hecke algebras of finite groups with BN pairs of classical type. Ph.D. dissertation, Vancouver, 1974
[12] Kondo, T.: The characters of the Weyl groups of typeF 4, J. Fac. Sci. Univ. Tokyo Sec. I,11, 145-153 (1965) · Zbl 0132.27401
[13] Lusztig, G.: Coxeter orbits and eigenspaces of Frobenius, Inv. Math.28, 101-159 (1976) · Zbl 0366.20031 · doi:10.1007/BF01408569
[14] Lusztig, G.: On the finiteness of the number of unipotent classes, Inv. Math.34, 201-213 (1976) · Zbl 0371.20039 · doi:10.1007/BF01403067
[15] Lusztig, G.: Irreducible representations of finite classical groups, Inv. Math.43, 125-175 (1977) · Zbl 0372.20033 · doi:10.1007/BF01390002
[16] Lusztig, G.: Representations of finite Chevalley groups, C.B.M.S. Regional Conference series in Math. 39, AMS, 1978 · Zbl 0418.20037
[17] Lusztig, G.: Unipotent representations of a finite Chevalley group of typeE 8, Quart. J. Math. Oxford30, 315-338 (1979) · Zbl 0418.20038 · doi:10.1093/qmath/30.3.315
[18] Lusztig, G.: A class of irreducible representations of a Weyl group, Proc. Nederl. Akad., Series A,82, 323-335 (1979) · Zbl 0435.20021
[19] Lusztig, G.: Some problems in the representation theory of finite Chevalley groups, to appear in Proc. AMS. Summer Institute on Finite Groups, 1979 · Zbl 0426.20034
[20] Lusztig, G., Srinivasan, B.: The characters of the finite unitary groups, J. Algebra49, 167-171 (1977) · Zbl 0384.20008 · doi:10.1016/0021-8693(77)90277-0
[21] Surowski, D.B.: Representations of a subalgebra of the generic algebra corresponding to the Weyl group of typeF 4, Comm. in Alg.5, 873-888 (1977) · Zbl 0362.20004 · doi:10.1080/00927877708822200
[22] Surowski, D.B.: Degrees of irreducible characters of BN pairs of typesE 6 andE 7, Trans. Amer. Math. Soc.243, 235-249 (1978) · Zbl 0392.20009
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.