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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 functions of the general linear group (over an algebraically closed field of zero characteristic). This gives an interesting class of Hopf algebras if the deformation parameter is a root of unity (of odd order). We investigate the properties of these Hopf algebras and construct a new counterexample to 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
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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