\(\alpha\)-stratified modules over the Lie algebra \(sl(n,\mathbb{C})\)
type: Item
instance of: scholarly article
title: \(\alpha\)-stratified modules over the Lie algebra \(sl(n,\mathbb{C})\)
zbMATH Open document ID: 0827.17009
DOI: 10.1007/BF01058634
published in: Ukrainian Mathematical Journal
publication date: 1995-02-19T00:00:00Z
review text: The article deals with the investigation of generalized Verma modules generated by an \(\alpha\)-primitive element over \(\text{sl} (n, \mathbb{C})\), which were introduced in [\textit{V. M. Futornyj} Ukr. Mat. Zh. 38, 492-497 (1986; Zbl 0614.17005)]. For these modules, a group with properties similar to the Weyl group associated with the classical Verma modules is constructed, by which a criterion of irreducibility is established and an analog of the BGG resolution is constructed.
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B20
zbMATH DE Number: 713551
zbMATH Keywords: complex simple Lie algebra
zbMATH Keywords: generalized Verma modules
zbMATH Keywords: primitive element
author: Volodymyr Mazorchuk
reviewed by: Guangyu Shen
MaRDI profile type: Publication
Wikidata QID: Q115394491
full work available at URL: https://doi.org/10.1007/bf01058634
OpenAlex ID: W2069778243
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description: scientific article; zbMATH DE number 713551