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Representation-functors and flag-algebras for the classical groups. I. (English) Zbl 0441.14013


MSC:

14L17 Affine algebraic groups, hyperalgebra constructions
20G05 Representation theory for linear algebraic groups
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References:

[2] Carter, R. W.; Lusztig, G., On the modular representations of the general linear and symmetric groups, Math. Z., 136, 193-242 (1974) · Zbl 0298.20009
[3] Epstein, D. B.A, Group representations and functors, Amer. J. Math., 91, 395-414 (1969) · Zbl 0201.02501
[4] Flanders, H., On free exterior powers, Trans. Amer. Math. Soc., 14, 357-367 (1969) · Zbl 0202.03701
[5] Higman, G., Representations of general linear groups and varieties of p-groups, (Proceedings of the International Conference on Theory of Groups, Australian National University. Proceedings of the International Conference on Theory of Groups, Australian National University, Canberra, August, 1965 (1967), Gordon & Breach: Gordon & Breach New York), 167-173
[7] Malcev, I. A., On semi-simple subgroups of Lie groups, Trans. Amer. Math. Soc., 33 (1950) · Zbl 1315.08002
[8] Towber, J., Two new functors from modules to algebras, J. Algebra, 47, 80-104 (1977) · Zbl 0358.15033
[12] Weyl, H., The Classical Groups (1939), Princeton University Press: Princeton University Press Princeton, N. J · JFM 65.0058.02
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