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The author wishes to thank I.G. Macdonald for some useful discussion. Part of the work on this paper was done during the author's visit at M.I.T., in the fall 1976
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Lusztig, G. Irreducible representations of finite classical groups. Invent Math 43, 125–175 (1977). https://doi.org/10.1007/BF01390002
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DOI: https://doi.org/10.1007/BF01390002