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On the modular representations of the general linear and symmetric groups. (English) Zbl 0298.20009


MSC:

20C20 Modular representations and characters
20C30 Representations of finite symmetric groups
20G15 Linear algebraic groups over arbitrary fields
20G05 Representation theory for linear algebraic groups
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References:

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[12] Shapovalov, N.N.: On a certain bilinear form on the enveloping algebra of a complex semisimple Lie algebra (Russian). Funkcional’. Analiz Prilo?enija6, 65-70 (1972)
[13] Thrall, R.M.: On the decomposition of modular tensors II. Ann. of Math. II. Ser.45, 639-657 (1944) · Zbl 0061.04103 · doi:10.2307/1969294
[14] Verma, D.N.: Rôle of the affine Weyl groups ..., To appear in Proceedings of the Budapest Summer School on Group Representations, 1971
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