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FINITE SUBGROUPS OF THE QUANTUM GENERAL LINEAR GROUP

Published online by Cambridge University Press:  01 July 2000

ERIC MÜLLER
ERIC MÜLLER
Affiliation:
Mathematisches Institut Universität München, Theresienstraße 39 D-80333, Munich, Germanyemueller@rz.mathematik.uni-muenchen.de
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Abstract

We classify the finite-dimensional quotient Hopf algebras of the deformed algebra of functionsof the general linear group (over an algebraicallyclosed field of zero characteristic). This gives an interesting class of Hopf algebras if the deformationparameter is a root of unity (of odd order). Weinvestigate the properties of these Hopf algebrasand construct a new counterexampleto Kaplansky's tenth conjecture. E-mail: eric.mueller@akdb.de 1991 Mathematics Subject Classification: 81R50, 16W30, 17B37.

Keywords

quantum groupsHopf algebrasHopf algebra extensionsKaplansky's tenth conjecture

Information

Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 81 , Issue 1 , July 2000 , pp. 190 - 210
Copyright
2000 London Mathematical Society

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