Abstract
Properties of the generalized Weyl group are studied for α-stratified modules over the Lie algebra sl (n, ℂ).
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V. M. Futornyi, “A generalization of Verma modules and irreducible representations of the Lie algebra sl (3, ℂ),”Ukr. Mat. Zh,38, No. 4, 492–497 (1986).
V. M. Futornyi, “Weighted sl (3)-modules generated by semiprimitive elements,”Ukr. Mat. Zk,43, No. 2, 281–285 (1991).
Yu. A. Drozd, S. A. Ovsienko, and V. M. Futornyi, “Harish-Chandra S-homomorphism andG-modules generated by semiprimitive elements,”Ukr. Mat. Zh,42, No. 8, 1031–1037 (1990).
J. Dixmier,Enveloping Algebras, Elsevier, New York (1977).
I. N. Bernshtein, I. M. Gel'fand, and S. I. Gel'fand, “Differential operators on the base affine space and a study ofG-modules,” in:Proceedings of Summer School in Mathematics, Janos Bolyai Mathematical Society, Budapest (1971), pp. 21 -64.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 9, pp. 1215–1224, September, 1993.
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Mazorchuk, V.S. α-Stratified modules over the Lie algebra sl (n, ℂ). Ukr Math J 45, 1360–1371 (1993). https://doi.org/10.1007/BF01058634
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DOI: https://doi.org/10.1007/BF01058634