References
Atiyah, M.F.:K-theory. New York-Amsterdam: Benjamin 1967
Borel, A., Carter, R., Couties, C.W., Iwahori, N., Springer, T.A., Steinberg, R.: Seminar on Algebraic Groups and Related Finite Groups (Part A). Lecture Notes in Mathematics 131. Berlin-Heidelberg-New York: Springer 1970
Braden, B.: Restricted representations of classical Lie algebras of typeA 2 andB 2. Bull. Amer. math. Soc.73, 482–486 (1967)
Carter, R.W.: Simple groups of Lie type. New York: J. Wiley and Sons 1972
Dixmier, J.: Certaines représentations infinies des algèbres de Lie semi-simples. Séminaire Bourbaki 1972/73, no. 425. Paris: Secrétariat mathématique
Humphreys, J.E.: Modular representations of classical Lie algebras and semisimple groups. J. Algebra19, 51–79 (1971)
Humphreys, J.E.: Introduction to Lie algebras and Representation Theory. Berlin-Heidelberg-New York: Springer 1971
Kerber, A.: Representations of permutation groups I. Lecture Notes in Mathematics 240. Berlin-Heidelberg-New York: Springer 1971
Kostant, B.: Groups over 242-1. In: Proceedings of Symposia in Pure Mathematics. Vol. IX (Boulder 1965), Algebraic Groups and Discontinuous Subgroups. pp 90–98. Providence: American Mathematical Society 1966
Peel, M.H.: Hook representations of the symmetric group. Glasgow math. J.,12, 136–149 (1971)
Robinson, G. de B.: Representation theory of the symmetric group. Edinburgh University Press 1961
Shapovalov, N.N.: On a certain bilinear form on the enveloping algebra of a complex semisimple Lie algebra (Russian). Funkcional'. Analiz Priloženija6, 65–70 (1972)
Thrall, R.M.: On the decomposition of modular tensors II. Ann. of Math. II. Ser.45, 639–657 (1944)
Verma, D.N.: Rôle of the affine Weyl groups ..., To appear in Proceedings of the Budapest Summer School on Group Representations, 1971
Weyl, H.: Classical groups, their invariants and representations. Princeton: Princeton University Press 1939
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Carter, R.W., Lusztig, G. On the modular representations of the general linear and symmetric groups. Math Z 136, 193–242 (1974). https://doi.org/10.1007/BF01214125
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DOI: https://doi.org/10.1007/BF01214125