GELFAND-KIRILLOV DIMENSION OF COSEMISIMPLE HOPF ALGEBRAS

被引：2
|
作者：
Chirvasitu, Alexandru [1 ]
Walton, Chelsea [2 ]
Wang, Xingting [3 ]
机构：
[1] Univ Buffalo, Dept Math, Buffalo, NY 14260 USA
[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA
[3] Howard Univ, Dept Math, Washington, DC 20059 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 11期
基金：
美国国家科学基金会;
关键词：
Cosemisimple Hopf algebra; Gelfand-Kirillov dimension; Grothendieck semiring; linearly reductive algebraic group; QUANTUM GROUPS; GROWTH;
D O I：
10.1090/proc/14616
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：4665 / 4672
页数：8
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