Orthogonal bases in specific generalized symmetry classes of tensors

Author(s):

Gholamreza Rafatneshan , Yousef Zamani *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
Let $V$ be a unitary vector space. Suppose $G$ is a permutation group of degree $m$ and $\Lambda$ is an irreducible unitary representation of $G$. We denote by $V_{\Lambda}(G)$ the generalized symmetry class of tensors associated with $G$ and $\Lambda$. In this paper, we prove the existence of orthogonal bases consisting of generalized decomposable symmetrized tensors for the generalized symmetry classes of tensors associated with unitary irreducible representations of group $U_{6n}$, as well as dihedral and dicyclic groups.
Keywords:

Generalized Symmetry Classes Of Tensors , Orthogonal Basis , The Group $U , {6N}$ , Dihedral Group , Dicyclic Group

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:13 Issue: 2, Summer and Autumn 2024
Pages:
209 to 223
https://www.magiran.com/p2753608