Induced and coinduced representations of Hopf group coalgebras

被引：0

作者：

Hegazi, A. S. ^{[2
]}

Ismail, F. ^{[3
]}

Elsofy, M. M. ^{[1
]}

机构：

[1] Fayoum Univ, Fac Sci, Dept Math, Al Fayyum, Egypt

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[3] Cairo Univ, Fac Sci, Dept Math, Cairo, Egypt

来源：

APPLIED CATEGORICAL STRUCTURES | 2008年 / 16卷 / 1-2期

关键词：

algebra; coalgebra; Hopf algebra; representation theory; Hopf group coalgebra;

D O I：

10.1007/s10485-007-9099-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The induction theory for a Hopf group coalgebra is outlined. Given a Hopf group coalgebra H, the notions of a quotient Hopf group coalgebra and group coisotropic quantum subgroup of H are introduced. The properties of (co)induced representations are studied and the geometric interpretation and simplicity theory of such representations are given.

引用

页码：97 / 102

页数：6

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