𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Orthogonal Bases of Symmetry Classes

✍ Scribed by M. Shahryari

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
57 KB
Volume
220
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

an orthonormal basis of V. Suppose G is a permutation group of degree m and Ε½ . 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 Ε½ .

U orthogonal bases for V G consisting of symmetrized decomposable tensors e . ␣

πŸ“œ SIMILAR VOLUMES

On the Orthogonal Basis of Symmetry Clas
On the Orthogonal Basis of Symmetry Classes of Tensors
✍ M.A Shahabi; K Azizi; M.H Jafari πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 85 KB

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. Ε½ . Pournaki in press, Linear and Multilinear Algebra an

On the Cyclic Symmetry Classes
On the Cyclic Symmetry Classes
✍ Tin-Yau Tam πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 98 KB

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 Ε½ . function. The results of a paper of Cummings 1976, J. Algebr

On the Dimensions of Cyclic Symmetry Cla
On the Dimensions of Cyclic Symmetry Classes of Tensors
✍ M.R Darafsheh; M.R Pournaki πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 129 KB

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.

On Some Classes of Polynomials Orthogona
On Some Classes of Polynomials Orthogonal on Arcs of the Unit Circle Connected with Symmetric Orthogonal Polynomials on an Interval
✍ Alexei Zhedanov πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 404 KB

Starting from the Delsarte Genin (DG) mapping of the symmetric orthogonal polynomials on an interval (OPI) we construct a one-parameter family of polynomials orthogonal on the unit circle (OPC). The value of the parameter defines the arc on the circle where the weight function vanishes. Some explici