Monomial Hopf algebras

被引：55

作者：

Chen, XW

Huang, HL

Ye, Y

Zhang, P ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

[2] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2004年 / 275卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Hopf structures; monomial coalgebras;

D O I：

10.1016/j.jalgebra.2003.12.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a field of characteristic 0 containing all roots of unity. We classified all the Hopf structures oil monomial K-coalgebras, or, in dual version, on monomial K-algebras. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：212 / 232

页数：21

共 15 条

[1] Lifting of quantum linear spaces and pointed Hopf algebras of order p3 [J].

Andruskiewitsch, N ;

Schneider, HJ .

JOURNAL OF ALGEBRA, 1998, 209 (02) :658-691

[2]

AUSLANDER M, 1995, CAMBRIDGE STUD ADV M, V36

[3] DIAMOND LEMMA FOR RING THEORY [J].

BERGMAN, GM .

ADVANCES IN MATHEMATICS, 1978, 29 (02) :178-218

[4]

Chin W, 1997, AMS/IP Studies in Advanced Mathematics, P41

[5] Hopf quivers [J].

Cibils, C ;

Rosso, M .

JOURNAL OF ALGEBRA, 2002, 254 (02) :241-251

[6] A QUIVER QUANTUM GROUP [J].

CIBILS, C .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 157 (03) :459-477

[7] Basic Hopf algebras and quantum groups [J].

Green, EL ;

Solberg, O .

MATHEMATISCHE ZEITSCHRIFT, 1998, 229 (01) :45-76

[8]

KASSEL C, 1995, GRAB TEXTS MATH, V155

[9] INDECOMPOSABLE COALGEBRAS, SIMPLE COMODULES, AND POINTED HOPF-ALGEBRAS [J].

MONTGOMERY, S .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (08) :2343-2351

[10]

MONTGOMERY S, 1993, CBMS REG C SER MATH, V82

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