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Zur Charakterformel gewisser Darstellungen halbeinfacher Gruppen und Lie-Algebren. (German) Zbl 0279.20036


MSC:

20G05 Representation theory for linear algebraic groups
17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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References:

[1] Bernshtein, I. N., Gel’fand, I. M., Gel’fand, S. I.: Structure of representations generated by vectors of highest weight. Functional Analysis Appl.5, 1?9 (1971) · Zbl 0246.17008
[2] Bourbaki, N.: Groupes et algèbres de Lie, Chap. IV, V et VI. Paris: Hermann 1968 · Zbl 0186.33001
[3] Brauer, R.: Sur la multiplication des caractéristiques des groupes continus et semi-simples. C. r. acad. Sci., Paris, Sér. A.,204, 1784?1786 (1937) · Zbl 0016.29502
[4] 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
[5] Conze, N., Dixmier, J.: Idéaux primitifs dans l’algèbre enveloppante d’une algèbre de Lie semisimple. Bull. Sci. math. II. Sér.96, 339?351 (1972) · Zbl 0246.17009
[6] Dixmier, J.: Algébres enveloppantes, Paris: Gauthier-Villars 1974 · Zbl 0308.17007
[7] Humphreys, J. E.: Modular representations of classical Lie algebras and semi-simple groups. J. Algebra19, 57?79 (1971) · Zbl 0219.17003
[8] Jantzen, J. C.: Darstellungen halbeinfacher algebraischer Gruppen und zugeordnete kontravariante Formen. Bonner math. Schriften67 (1973) · Zbl 0288.17004
[9] Shapovalov, N. N.: On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra. Functional Analysis Appl.6, 307?312 (1972) · Zbl 0283.17001
[10] Springer, T. A.: Weyl’s character formula for algebraic groups. Inventiones math.5, 85?105 (1968) · Zbl 0159.31802
[11] Tits, J.: Buildings of Spherical Type and Finite BN-Pairs. Lecture Notes in Mathematics386. Berlin-Heidelberg-New York: Springer 1974 · Zbl 0295.20047
[12] Verma, D. N.: Rôle of affine Weyl groups.... Erscheint in: Proceedings of the Budapest Summer School on Group Representations 1971
[13] Verma, D. N.: Refinement of a result of Shapovalov..., Vortrag bei der Tagung über einhüllende Algebren von Lie-Algebren. Math. Forschungsinstitut Oberwolfach, April 1973
[14] Wong, W. J.: Irreducible modular representations of finite Chevalley groups. J. Algebra20, 355?367 (1972). · Zbl 0228.20012
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