On the quantization of a coherent family of representations at roots of unity
type: Item
instance of: scholarly article
title: On the quantization of a coherent family of representations at roots of unity
zbMATH Open document ID: 0853.17013
published in: Journal of the Mathematical Society of Japan
publication date: 1997-01-09T00:00:00Z
review text: The first sentence of the article describes its contents quite accurately: ``Given a coherent family of virtual representations of a complex semisimple Lie algebra we associate a coherent family of virtual representations of the corresponding quantum group at roots of unity.'' As an application, it is sketched at the end of the article how this method can be used to determine composition factor multiplicities for Verma modules over quantum groups at roots unity.
reviewed by: Wolfgang Soergel
Mathematics Subject Classification ID: 17B37
zbMATH DE Number: 894121
zbMATH Keywords: coherent family of virtual representations
zbMATH Keywords: quantum group at roots of unity
zbMATH Keywords: composition factor multiplicities for Verma modules
author: Rajagopalan Parthasarathy
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/04810187
OpenAlex ID: W2057275932
DOI: 10.2969/JMSJ/04810187
description: scientific article; zbMATH DE number 894121