Weight sl(3)-modules generated by semiprimitive elements
type: Item
instance of: scholarly article
title: Weight sl(3)-modules generated by semiprimitive elements
zbMATH Open document ID: 0733.17004
DOI: 10.1007/BF01060517
published in: Ukrainian Mathematical Journal
publication date: 1991-01-01T00:00:00Z
review text: The author considers weight representations of the Lie algebra sl(3,\({\mathbb{C}})\) which have no highest weights and are generated by semiprimitive vectors. Bases of semiprimitive vectors of carrier spaces of such representations are completely described. Necessary and sufficient conditions for the irreducibility of the representations are derived. The author investigates composition series of the reducible representations.
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B20
zbMATH DE Number: 4212272
zbMATH Keywords: weight representations
zbMATH Keywords: semiprimitive vectors
zbMATH Keywords: composition series
author: Vyacheslav Futorny
MaRDI profile type: Publication
cites work: A generalization of the Bernstein-Gelfand-Gelfand resolution
cites work: Q4723920
full work available at URL: https://doi.org/10.1007/bf01060517
OpenAlex ID: W2152708323
description: scientific article; zbMATH DE number 4212272