BURNSIDES THEOREM FOR HOPF-ALGEBRAS

被引：26

作者：

PASSMAN, DS ^{[1
]}

QUINN, D ^{[1
]}

机构：

[1] SYRACUSE UNIV,DEPT MATH,SYRACUSE,NY 13244

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 02期

关键词：

D O I：

10.2307/2160884

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A classical theorem of Burnside asserts that if chi is a faithful complex character for the finite group G, then every irreducible character of G is a constituent of some power chi(n) of chi. Fifty years after this appeared, Steinberg generalized it to a result on semigroup algebras K[G] with K an arbitrary field and with G a semigroup, finite or infinite. Five years later, Rieffel showed that the theorem really concerns bialgebras and Hopf algebras. In this note, we simplify and amplify the latter work.

引用

页码：327 / 333

页数：7

共 10 条

[1]

Burnside W., 1955, THEORY GROUPS FINITE

[2] ON REPRESENTATIONS OF LIE ALGEBRAS [J].