Gelfand-Kirillov dimension of cosemisimple Hopf algebras-Reference-Cited by-同舟云学术

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Gelfand-Kirillov dimension of cosemisimple Hopf algebras

Published:2019-06-10 Issue:11 Volume:147 Page:4665-4672
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chirvasitu Alexandru,Walton Chelsea,Wang Xingting

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).

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2019-147-11/S0002-9939-2019-14616-5/proc14616_AM.pdf

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Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the monoidal invariance of the cohomological dimension of Hopf algebras;Comptes Rendus. Mathématique;2022-05-23

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