Irreducible Representations of Some Point Groups Which Are Isomorphic to Some Dihedral Groups

被引：0

作者：

Yahya, Zainab ^{[1
]}

Ali, Nor Muhainiah Mohd ^{[1
]}

Sarmin, Nor Haniza ^{[1
]}

Adnan, Noor Asma'Adny Mohd ^{[1
]}

Rahmat, Hamisan ^{[1
]}

机构：

[1] Univ Teknol Malaysia, Fac Sci, Dept Math Sci, Utm Johor Bahru 81310, Johor, Malaysia

来源：

PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY | 2014年 / 1605卷

关键词：

Irreducible representation; Point group; Dihedral group;

D O I：

10.1063/1.4887660

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group and M a vector space over K. A representation of G with representation space M is a homomorphism of G into GL(M), where GL(M) denotes the group of all invertible linear transformations of a vector space M onto itself. Furthermore, any representation of G is irreducible if the only subrepresentations of G are {0} and G. A point group is a group of symmetry operations all of which leave at least one point unmoved. There are some point groups which are isomorphic to dihedral groups. In this paper, the irreducible representations of some point groups which are isomorphic to some dihedral groups are given.

引用

页码：617 / 621

页数：5

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