On regularity of the algebra of covariants for actions of pointed Hopf algebras on regular commutative algebras

被引：0

作者：

Tyc, A ^{[1
]}

机构：

[1] Nicholas Copernicus Univ, Fac Math Informat, PL-87100 Torun, Poland

来源：

HOPF ALGEBRAS AND QUANTUM GROUPS, PROCEEDINGS | 2000年 / 209卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a Hopf algebra over an algebraically closed field and let A be a commutative H-module algebra. Sufficient conditions art: given for the algebra of coinvariants A(H) = A/(ha; h is an element of Ker epsilon. a is an element of A) to be regular.

引用

页码：261 / 268

页数：8

共 50 条

[31] Examples of Non-Semisimple Hopf Algebra Actions on Artin-Schelter Regular Algebras
Chen, Hui-Xiang
Wang, Ding-Guo
Zhang, James J.
ALGEBRAS AND REPRESENTATION THEORY, 2023, 26 (03) : 717 - 752
[32] Commutative combinatorial Hopf algebras
Hivert, Florent
Novelli, Jean-Christophe
Thibon, Jean-Yves
Journal of Algebraic Combinatorics, 2008, 28 (01): : 65 - 95
[33] Commutative combinatorial Hopf algebras
Florent Hivert
Jean-Christophe Novelli
Jean-Yves Thibon
Journal of Algebraic Combinatorics, 2008, 28
[34] Pointed Hopf algebras with large coradical
Dascalescu, S
COMMUNICATIONS IN ALGEBRA, 1999, 27 (10) : 4821 - 4826
[35] On Minimal Quasitriangular Pointed Hopf Algebras
Masuoka, Akira
JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO, 2009, 16 (04): : 545 - 576
[36] Pointed Hopf algebras of dimension 32
Graña, M
COMMUNICATIONS IN ALGEBRA, 2000, 28 (06) : 2935 - 2976
[37] Actions of Hopf algebras
Totok, AA
SBORNIK MATHEMATICS, 1998, 189 (1-2) : 147 - 157
[38] From racks to pointed Hopf algebras
Andruskiewitsch, N
Graña, M
ADVANCES IN MATHEMATICS, 2003, 178 (02) : 177 - 243
[39] Crossed products for pointed Hopf algebras
Günther, R
COMMUNICATIONS IN ALGEBRA, 1999, 27 (09) : 4389 - 4410
[40] Automorphism groups of pointed Hopf algebras
Yang S.
Frontiers of Mathematics in China, 2007, 2 (2) : 305 - 316

← 1 2 3 4 5 →