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kaplansky's tenth conjecture

Proceedings of the London Mathematical Society (1)

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FINITE SUBGROUPS OF THE QUANTUM GENERAL LINEAR GROUP
ERIC MÜLLER
Journal:

Proceedings of the London Mathematical Society / Volume 81 / Issue 1 / July 2000

Published online by Cambridge University Press:

01 July 2000, pp. 190-210

Print publication:

July 2000
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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: [email protected] 1991 Mathematics Subject Classification: 81R50, 16W30, 17B37.