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A construction of representations of Weyl groups. (English) Zbl 0376.17002

MSC:
17B15 Representations of Lie algebras and Lie superalgebras, analytic theory
17B99 Lie algebras and Lie superalgebras
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
20C99 Representation theory of groups
20J05 Homological methods in group theory
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References:
[1] Benard, M.: On the Schur indices of characters of the exceptional Weyl groups. Ann. of Math.94, 89-107 (1971) · Zbl 0216.09202
[2] Borel, A., Carter, R., Curtis, C.W., Iwahori, N., Springer, T.A., Steinberg, R.: Seminar in algebraic groups and related finite groups. Lecture Notes in Math. 131. Berlin-Heidelberg-New York: Springer 1970 · Zbl 0192.36201
[3] Hotta, R., Springer, T.A.: A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups. Inventiones math.41, 113-127 (1977) · Zbl 0389.20037
[4] SGA4, Théorie des topos et cohomologie étale des schémas (Séminaire dirigé par M. Artin, A. Grothendieck et J.L. Verdier), Lecture Notes in Math. 269. Berlin-Heidelberg-New York: Springer 1972/73
[5] Shoji, T.: The conjugacy classes of Chevalley groups of type (F 4) over finite fields of characteristicp ? 2. Journal Fac. Sc. Tokyo Univ.21, 1-17 (1974). · Zbl 0279.20038
[6] Spaltenstein, N.: On the fixed point set of a unipotent element on the variety of Borel subgroups. Topology16, 203-204 (1977) · Zbl 0445.20021
[7] Springer, T.A.: Trigonometric sums, Green functions of finite groups and representations of Weyl groups. Inv. Math.36, 173-207 (1976) · Zbl 0374.20054
[8] Steinberg, R.: On the desingularization of the unipotent variety. Inventiones math.36, 209-224 (1976) · Zbl 0352.20035
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