One construction of irreducible representations of semisimple Lie algebras
type: Item
instance of: scholarly article
title: One construction of irreducible representations of semisimple Lie algebras
zbMATH Open document ID: 0628.17002
DOI: 10.1007/BF01078041
publication date: 1987-01-01T00:00:00Z
review text: Let \(L\) be a finite-dimensional semisimple Lie algebra over an algebraically closed field of characteristic zero. In this paper an account is given of the construction of an \(L\)-module generalizing Verma modules. In particular new simple \(sl(n)\)-modules are constructed.
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B20
Mathematics Subject Classification ID: 17B22
zbMATH DE Number: 4021391
zbMATH Keywords: Cartan subalgebra
zbMATH Keywords: root system
zbMATH Keywords: semisimple Lie algebra
zbMATH Keywords: characteristic zero
zbMATH Keywords: modules
author: Vyacheslav Futorny
reviewed by: A. G. Gein
MaRDI profile type: Publication
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 4021391