On the orthogonal basis of the symmetry classes of tensors associated with the dicyclic group

被引：12

作者：

Darafsheh, MR

Pournaki, MR ^{[1
]}

机构：

[1] Univ Tehran, Dept Math & Comp Sci, Tehran, Iran

[2] Inst Studies Theoret Phys & Math, Tehran, Iran

来源：

LINEAR & MULTILINEAR ALGEBRA | 2000年 / 47卷 / 02期

关键词：

symmetry class of tensors; orthogonal basis; dicyclic group; 2-adic valuation;

D O I：

10.1080/03081080008818639

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A necessary and sufficient condition for the existence of orthogonal basis of decomposable symmetrized tensors for the symmetry classes of tensors associated with the dicyclic group is given. In particular we apply these conditions to the generalized quaternion group, for which the dimensions of the symmetry classes of tensors are computed.

引用

页码：137 / 149

页数：13

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