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Unipotent characters of the even orthogonal groups over a finite field. (English) Zbl 0491.20034


MSC:

20G05 Representation theory for linear algebraic groups
20G40 Linear algebraic groups over finite fields
20C30 Representations of finite symmetric groups
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[1] Teruaki Asai, On the zeta functions of the varieties \?(\?) of the split classical groups and the unitary groups, Osaka J. Math. 20 (1983), no. 1, 21 – 32. · Zbl 0515.20026
[2] G. Lusztig, Irreducible representations of finite classical groups, Invent. Math. 43 (1977), no. 2, 125 – 175. · Zbl 0372.20033
[3] George Lusztig, Representations of finite Chevalley groups, CBMS Regional Conference Series in Mathematics, vol. 39, American Mathematical Society, Providence, R.I., 1978. Expository lectures from the CBMS Regional Conference held at Madison, Wis., August 8 – 12, 1977. · Zbl 0418.20037
[4] George Lusztig, Unipotent characters of the symplectic and odd orthogonal groups over a finite field, Invent. Math. 64 (1981), no. 2, 263 – 296. · Zbl 0477.20023
[5] -, A class of irreducible representations of a Weyl group. II, Proc. Kon. Nederl. Akad. A85 (1982)
[6] George Lusztig, Characters of reductive groups over a finite field, Annals of Mathematics Studies, vol. 107, Princeton University Press, Princeton, NJ, 1984. · Zbl 0556.20033
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