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The characters of the finite unitary groups. (English) Zbl 0384.20008

MSC:
20C15 Ordinary representations and characters
20G40 Linear algebraic groups over finite fields
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[1] Deligne, P; Lusztig, G, Representations of reductive groups over finite fields, Ann. of math., 103, 103-161, (1976) · Zbl 0336.20029
[2] Green, J.A, The characters of the finite general linear groups, Trans. amer. math. soc., 80, 402-447, (1955) · Zbl 0068.25605
[3] \scT. R. Hotta, On the Green polynomials of finite unitary groups, preprint. · Zbl 0389.20037
[4] Kawanaka, N, On the irreducible characters of the finite unitary groups, (), 95-97 · Zbl 0371.20017
[5] \scG. Lusztig, Coxeter orbits and eigenspaces of Frobenius, Invent. Math., to appear. · Zbl 0366.20031
[6] Lusztig, G, On the finiteness of the number of unipotent classes, Invent. math., 34, 201-213, (1976) · Zbl 0371.20039
[7] Srinivasan, B, Isometries in groups of Lie type, J. algebra, 26, 556-563, (1973) · Zbl 0284.20049
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