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Irreducible representations of Hopf algebras over dihedral groups - MaRDI portal

Irreducible representations of Hopf algebras over dihedral groups (Q6063399)

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scientific article; zbMATH DE number 7762057
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Irreducible representations of Hopf algebras over dihedral groups
scientific article; zbMATH DE number 7762057

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    Irreducible representations of Hopf algebras over dihedral groups (English)
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    7 November 2023
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    The paper under review is focused to calculate irreducible representations of an algebra \(A\). In order to do that the authors compute the Jacobson radical \(Jac(A)\) and use that the irreducible representations of algebras \(A\) and \(A/Jac(A)\) are in bijective correspondence and that the sum of the squares of the dimension of the all non-isomorphic irreducible representations of \(A/Jac(A)\) is equal to its dimension.
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    irreducible representations
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    pointed Hopf algebras
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    dihedral groups
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    Jacobson radical
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