Semisimple Hopf algebras of dimension 9q² and high-dimensional semisimple Hopf algebras of Frobenius type
classification
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keywords
algebrashopfsemisimpledimensionfrobeniustypealgebraicallycharacteristic
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Let $k$ be an algebraically closed field of characteristic 0. In this paper, we obtain the structure theorems for semisimple Hopf algebras of dimension $9q^2$ over $k$, where $q$ is a prime number. We also prove that odd-dimensional semisimple Hopf algebras over $k$ of dimension less than 600 are of Frobenius type.
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