Finite subgroups of the quantum general linear group (Q2766363)
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scientific article; zbMATH DE number 1696279
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite subgroups of the quantum general linear group |
scientific article; zbMATH DE number 1696279 |
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28 January 2002
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quantum groups
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Hopf algebras
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Hopf algebra extensions
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general linear groups
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Finite subgroups of the quantum general linear group (English)
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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.
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