On the symmetry classes of functions
โ Scribed by Zhu Ping; Fan Yun
- Publisher
- Wuhan University
- Year
- 2005
- Tongue
- English
- Weight
- 317 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1007-1202
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we discuss the properties of generalized trace functions of a matrix, symmetrizers on a Cartesian product space of vectors and induced operators on a Cartesian symmetry class.
The dimensions of the symmetry classes of tensors associated with the product of cyclic subgroups of the symmetric group are explicitly given in terms of the Ramanujan sum. It can also be expressed as the Euler -function and the Mobius ลฝ . function. The results of a paper of Cummings 1976, J. Algebr
an orthonormal basis of V. Suppose G is a permutation group of degree m and ลฝ . is an irreducible character of G. We denote by V G the symmetry class of tensors associated with G and . In this article, we discuss the problem of existing ลฝ . U orthogonal bases for V G consisting of symmetrized decom
A necessary and sufficient condition for the existence of the orthogonal basis of decomposable symmetrized tensors for the symmetry classes of tensors associated with dicyclic group and dihedral group were studied by M. R. Darafsheh and M. R. ลฝ . Pournaki in press, Linear and Multilinear Algebra an