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.
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页码：97 / 102
页数：6
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