Simple modules over the multiparameter quantum function algebra at roots of 1
type: Item
instance of: scholarly article
title: Simple modules over the multiparameter quantum function algebra at roots of 1
zbMATH Open document ID: 0944.17011
DOI: 10.1007/BF01236429
published in: Transformation Groups
publication date: 1998-10-08T00:00:00Z
review text: The author continues the study of multiparameter quantum function algebras at roots of one initiated in [\textit{M. Costantini} and \textit{M. Varagnolo}, Math. Ann. 306, 759-780 (1996; Zbl 0858.16035), C. R. Acad. Sci., Paris, Sér. I 323, 127-132 (1996; Zbl 0860.17015)]. In the present paper, essentially all the simple modules over such Hopf algebras are constructed, using a ``geometric'' method as in [\textit{C. De Concini} and \textit{C. Procesi}, Aust. Math. Soc. Lect. Ser. 9, 127-160 (1997; Zbl 0901.17005)].
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 16W35
zbMATH DE Number: 1187666
zbMATH Keywords: quantum groups
zbMATH Keywords: multiparameter quantum function algebras
zbMATH Keywords: simple modules
zbMATH Keywords: Hopf algebras
author: Mauro Costantini
reviewed by: Nicolás Andruskiewitsch
MaRDI profile type: Publication
cites work: Quantum double and multiparameter quantum groups
cites work: Multiparameter quantum function algebra at roots of 1
cites work: Q4896477
cites work: Quantum Coadjoint Action
cites work: Quantum function algebra at roots of 1
cites work: Q4338601
cites work: Algebraic structure of multiparameter quantum groups
cites work: Q4317871
cites work: Algebras of functions on compact quantum groups, Schubert cells and quantum tori
cites work: Multiparameter quantum groups and twisted quasitriangular Hopf algebras
full work available at URL: https://doi.org/10.1007/bf01236429
OpenAlex ID: W2146080291
description: scientific article; zbMATH DE number 1187666