Quantum deformations of \(\alpha\)-stratified modules
type: Item
instance of: scholarly article
title: Quantum deformations of \(\alpha\)-stratified modules
zbMATH Open document ID: 0917.17007
DOI: 10.1023/A:1009945008915
published in: Algebras and Representation Theory
publication date: 1999-08-02T00:00:00Z
review text: The authors show that \(\alpha\)-stratified generalized Verma modules (i.e modules induced from a parabolic subalgebra, whose Levi factor has the semi-simple part isomorphic to \(sl(2)\)) over a simple finite-dimensional complex Lie algebra possess a deformation to generalized Verma modules over quantum universal enveloping algebras that preserves the weight-space decomposition.
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 81R50
zbMATH DE Number: 1271027
zbMATH Keywords: simple Lie algebras
zbMATH Keywords: representations
zbMATH Keywords: quantum deformations
zbMATH Keywords: generalized Verma module
zbMATH Keywords: \(\alpha\)-stratified module
author: Vyacheslav Futorny
author: Duncan J. Melville
MaRDI profile type: Publication
full work available at URL: a:1009945008915
OpenAlex ID: W2912585908
description: scientific article; zbMATH DE number 1271027