Induced bases of symmetry classes of tensors
โ Scribed by Russell Merris
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 411 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
The dimensions of the symmetry classes of tensors, associated with a certain cyclic subgroup of $ which is generated by a product of disjoint cycles is explicitly m given in terms of the generalized Ramanujan sum. These dimensions can also be expressed as the Euler -function and the Mobius function.
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