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Weight $\mathrm {sl}(3)$-modules generated by half-primitive elements

Generalized Verma modules over the Lie algebra $\mathrm {sl}(3, \mathbb {C})$ that contain no highest vector are studied. Such modules are generated by semiprimitive elements. The composition structure of these modules is studied, an irreducibility criterion is given. Explicit formulas for semiprimi...

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Bibliographic Details
Date:	2025
Main Authors:	Futorny , V. M., Футорный , В. М.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2025
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/9371
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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