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arXiv · 1807.01894

Gelfand-Kirillov dimension of cosemisimple Hopf algebras

Alexandru Chirvasitu·Chelsea Walton·Xingting Wang
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Abstract

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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BibTeXRIS

Alexandru Chirvasitu, Chelsea Walton, Xingting Wang. 2018-07-05. Gelfand-Kirillov dimension of cosemisimple Hopf algebras. https://arxiv.org/abs/1807.01894

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