INDECOMPOSABLE COALGEBRAS, SIMPLE COMODULES, AND POINTED HOPF-ALGEBRAS

被引：50

作者：

MONTGOMERY, S

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 08期

关键词：

D O I：

10.2307/2161257

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that every coalgebra C is a direct sum of coalgebras in such a way that the summands correspond to the connected components of the Ext quiver of the simple comodules of C. This result is used to prove that every pointed Hopf algebra is a crossed product of a group over the indecomposable component of the identity element.

引用

页码：2343 / 2351

页数：9

共 19 条

[1]

Abe E., 1980, HOPF ALGEBRAS

[2] HOPF ALGEBRA DUALITY, INJECTIVE-MODULES AND QUANTUM GROUPS [J].

CHIN, W ;

MUSSON, IM .

COMMUNICATIONS IN ALGEBRA, 1994, 22 (12) :4661-4692

[3]

DECONCINI C, 1990, PROGR MATH, V92

[4]

Dieudonne J., 1973, INTRO THEORY FORMAL

[5]

Drinfeld V. G., 1986, P ICM BERKELEY, V1, P789

[6]

GOODEARL KR, 1989, LONDON MATH SOC STUD, V16

[7]

KAPLANSKY I, 1975, LECTURE NOTES MATH

[8] CHARACTERS OF HOPF ALGEBRAS [J].

LARSON, RG .

JOURNAL OF ALGEBRA, 1971, 17 (03) :352-&

[9]

Lusztig G., 1987, CONT MATH, V82, P59

[10] SKEW DERIVATIONS AND UQ(SL(2)) [J].

MONTGOMERY, S ;

SMITH, SP .

ISRAEL JOURNAL OF MATHEMATICS, 1990, 72 (1-2) :158-166

← 1 2 →