Abstract
We define Harish-Chandra S-homomorphism which generalizes the classical Harish-Chandra homomorphism and study its properties. For\(\mathfrak{G}\)-modules\((\mathfrak{G} \ne E_7 ,E_8 )\), generated by semiprimitive elements we prove the existence of composition sequences.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 8, pp. 1031–1037, August, 1990.
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Drozd, Y.A., Ovsienko, S.A. & Futornyi, V.M. Harish-Chandra S-homomorphism and\(\mathfrak{G}\)-modules generated by a semiprimitive element. Ukr Math J 42, 919–924 (1990). https://doi.org/10.1007/BF01099221
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DOI: https://doi.org/10.1007/BF01099221