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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| Дата: | 2025 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2025
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/9371 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Резюме: | 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 semiprimitive elements are obtained. |
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