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arxiv: 1807.01894 · v3 · pith:H2YNYKNVnew · submitted 2018-07-05 · 🧮 math.QA · math.RA

Gelfand-Kirillov dimension of cosemisimple Hopf algebras

classification 🧮 math.QA math.RA
keywords algebraicalgebrascosemisimpledimensiongelfand-kirillovhopfandrea-pinzari-rossiarise
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In this note, we compute the Gelfand-Kirillov dimension of cosemisimple Hopf algebras that arise as deformations of a linearly reductive algebraic group. Our work lies in a purely algebraic setting and generalizes results of Goodearl-Zhang (2007), of Banica-Vergnioux (2009), and of D'Andrea-Pinzari-Rossi (2017).

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