Gelfand-Kirillov dimension of cosemisimple Hopf algebras

Chirvasitu, Alexandru; Walton, Chelsea; Wang, Xingting

doi:10.1090/proc/14616

Gelfand-Kirillov dimension of cosemisimple Hopf algebras
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by Alexandru Chirvasitu, Chelsea Walton and Xingting Wang PDF

Proc. Amer. Math. Soc. 147 (2019), 4665-4672 Request permission

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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