Delta Sets and Polynomial Identities in Pointed Hopf Algebras

被引：0

作者：

Bahturin, Yuri ^{[1
]}

Witherspoon, Sarah ^{[2
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2023年 / 26卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Hopf algebras; Lie algebras; PI-algebras; Enveloping algebras; Smash products; EXISTENCE;

D O I：

10.1007/s10468-021-10086-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We survey a vast array of known results and techniques in the area of polynomial identities in pointed Hopf algebras. Some new results are proven in the setting of Hopf algebras that appeared in papers of D. Radford and N. Andruskiewitsch - H.-J. Schneider.

引用

页码：97 / 116

页数：20

共 50 条

[1] Delta Sets and Polynomial Identities in Pointed Hopf Algebras
Yuri Bahturin
Sarah Witherspoon
Algebras and Representation Theory, 2023, 26 : 97 - 116
[2] Hopf subalgebras of pointed Hopf algebras and applications
Stefan, D
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (11) : 3191 - 3193
[3] CLASSIFICATION OF QUIVER HOPF ALGEBRAS AND POINTED HOPF ALGEBRAS OF TYPE ONE
Zhang, Shouchuan
Chen, Hui-Xiang
Zhang, Yao-Zhong
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2013, 87 (02) : 216 - 237
[4] Automorphism groups of pointed Hopf algebras
Yang S.
Frontiers of Mathematics in China, 2007, 2 (2) : 305 - 316
[5] Classification of pointed rank one Hopf algebras
Scherotzke, Sarah
JOURNAL OF ALGEBRA, 2008, 319 (07) : 2889 - 2912
[6] Group gradings and actions of pointed Hopf algebras
Bahturin, Yuri
Montgomery, Susan
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (01)
[7] Pointed Hopf Algebras—from Enveloping Algebras to Quantum Groups and Beyond
David E. Radford
Acta Applicandae Mathematicae, 2009, 108 : 141 - 155
[8] Factorization of simple modules for certain pointed Hopf algebras
Pereira, Mariana
JOURNAL OF ALGEBRA, 2007, 318 (02) : 957 - 980
[9] Quasitriangular pointed Hopf algebras constructed by Ore extensions
Nenciu, A
ALGEBRAS AND REPRESENTATION THEORY, 2004, 7 (02) : 159 - 172
[10] Quasitriangular Pointed Hopf Algebras Constructed by Ore Extensions
Adriana Nenciu
Algebras and Representation Theory, 2004, 7 : 159 - 172

← 1 2 3 4 5 →