Pointed Hopf algebras of discrete corepresentation type

被引：0

作者：

Iovanov, Miodrag Cristian ^{[1
,2
]}

Sen, Emre ^{[1
]}

Sistko, Alexander ^{[3
]}

Zhu, Shijie ^{[4
]}

机构：

[1] Univ Iowa, Dept Math, McLean Hall, Iowa City, IA USA

[2] Romanian Acad, Simion Stoilow Inst, POB 1-764, Bucharest 014700, Romania

[3] Manhattan Coll, Dept Math, Riverdale, NY 10471 USA

[4] Nantong Univ, Sch Sci, Nantong, Jiangsu, Peoples R China

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2024年 / 228卷 / 04期

关键词：

Hopf algebra; Finite (co)representation type; Discrete corepresentation type; Separable extension; COALGEBRAS;

D O I：

10.1016/j.jpaa.2023.107541

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify pointed Hopf algebras of discrete corepresentation type over an algebraically closed field K with characteristic zero. For such algebras H, we explicitly determine the algebra structure up to isomorphism for the link indecomposable component B containing the unit. It turns out that H is a crossed product of B and a certain group algebra.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：25

共 20 条

[1] Separable bimodules and approximation
Caenepeel, S
Zhu, B
[J]. ALGEBRAS AND REPRESENTATION THEORY, 2005, 8 (02) : 207 - 223
[2] Monomial Hopf algebras
Chen, XW
Huang, HL
Ye, Y
Zhang, P
[J]. JOURNAL OF ALGEBRA, 2004, 275 (01) : 212 - 232
[3] Almost split sequences for comodules
Chin, W
Kleiner, M
Quinn, D
[J]. JOURNAL OF ALGEBRA, 2002, 249 (01) : 1 - 19
[4] Chin W., 1997, AMS/IP Studies in Advanced Math., V4, P41
[5] Hopf quivers
Cibils, C
Rosso, M
[J]. JOURNAL OF ALGEBRA, 2002, 254 (02) : 241 - 251
[6] Serial coalgebras
Cuadra, J
Gómez-Torrecillas, J
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2004, 189 (1-3) : 89 - 107
[7] Dascalescu S., 2001, LECT NOTES PURE APPL, V235
[8] Path subcoalgebras, finiteness properties and quantum groups
Dascalescu, Sorin
Iovanov, Miodrag C.
Nastasescu, Constantin
[J]. JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2013, 7 (03) : 737 - 766
[9] QUIVER ALGEBRAS, PATH COALGEBRAS AND COREFLEXIVITY
Dascalescu, Sorin
Iovanov, Miodrag C.
Nastasescu, Constantin
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2013, 262 (01) : 49 - 79
[10] 2018, Arxiv, DOI arXiv:1803.00173

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