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The discrete series of \(SL(n,q)\). (English) Zbl 0226.20035


MSC:

20G05 Representation theory for linear algebraic groups
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References:

[1] Borel, A., Tits, J.: Groupes réductifs. Publ. Math. IHES, Paris27, 55-151 (1965). · Zbl 0145.17402
[2] Gel’fand, S.I.: Analytic representations of the full linear group over a finite field. Soviet Math. Doklady9, 1121-1125 (1968). · Zbl 0281.22017
[3] Green, J.A.: The characters of the finite general linear groups. Trans. Amer. Math. Soc.80, 402-447 (1955). · Zbl 0068.25605 · doi:10.1090/S0002-9947-1955-0072878-2
[4] Harish-Chandra: Eisenstein series over finite fields, functional analysis and related fields. Berlin-Heidelberg-New York: Springer 1970, pp. 76-88. · Zbl 0226.20049
[5] Lehrer, G.I.: On the discrete series characters of linear groups. Thesis, University of Warwick (1971).
[6] Springer, T.A.: Cusp forms for finite groups. In: A. Borel et al.: Seminar on algebraic groups and related finite groups, Lecture notes in mathematics131. Berlin-Heidelberg-New York: Springer 1970, pp, C1-C24.
[7] Springer, T.A., Steinberg, R.: Conjugacy classes. Ibid.In:, pp. E1-E100.
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