Actions of cocommutative Hopf algebras

被引：3

作者：

Lorenz, Martin ^{[1
]}

Nguyen, Bach ^{[1
]}

Yammine, Ramy ^{[1
]}

机构：

[1] Temple Univ, Dept Math, Philadelphia, PA 19122 USA

来源：

JOURNAL OF ALGEBRA | 2020年 / 546卷

关键词：

Hopf algebra; Action; Quantum invariant theory; Prime spectrum; Stratification; Prime ideal; Semiprime ideal; Integral action; Rational action; Algebraic group; Lie algebra; Derivation;

D O I：

10.1016/j.jalgebra.2019.11.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a cocommutative Hopf algebra acting on an algebra A. Assuming the base field to be algebraically closed and the H-action on A to be integral, that is, it is given by a coaction of some Hopf subalgebra of the finite dual H degrees that is an integral domain, we stratify the prime spectrum Spec A in terms of the prime spectra of certain commutative algebras. For arbitrary H-actions in characteristic 0, we show that the largest H-stable ideal of A that is contained in a given semiprime ideal of A is semiprime as well. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：703 / 722

页数：20

共 20 条

[1] Finite generation of symmetric ideals [J].