A classification of unitary highest weight modules of the quantum analogue of the symmetric pair \((A_n,A_{n-1})\)
type: Item
instance of: scholarly article
title: A classification of unitary highest weight modules of the quantum analogue of the symmetric pair \((A_n,A_{n-1})\)
zbMATH Open document ID: 0973.17017
author: Valentina Guizzi
published in: Journal of Algebra
publication date: 1997-07-28T00:00:00Z
review text: The author studies the irreducibility and unitarity of highest weight modules of the quantized enveloping algebra associated to \(\mathfrak{su}(n,1)\). She obtains a classification of these modules analogous to that of [\textit{T. J. Enright, R. E. Howe} and \textit{N. R. Wallach}, Prog. Math. 40, 97-143 (1983; Zbl 0535.22012)] in the classical context. She also computes all commutation relations between root vectors in \(\mathcal U_q({\mathfrak{su}}(n,1))\).-- This paper is part of her doctoral thesis.
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 17B10
zbMATH DE Number: 1026084
zbMATH Keywords: Verma modules
MaRDI profile type: Publication
full work available at URL: jabr.1996.6909
OpenAlex ID: W2000514828
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DOI: 10.1006/JABR.1996.6909
description: scientific article; zbMATH DE number 1026084