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).
Original language | English (US) |
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Pages (from-to) | 4665-4672 |
Number of pages | 8 |
Journal | Proceedings of the American Mathematical Society |
Volume | 147 |
Issue number | 11 |
DOIs | |
State | Published - Jan 1 2019 |
Keywords
- Cosemisimple Hopf algebra
- Gelfand-Kirillov dimension
- Grothendieck semiring
- Linearly reductive algebraic group
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics