Generalized Cartesian Symmetry Classes
Representation Theory
2023-04-25 v1
Abstract
Let V be a unitary space. Suppose G is a subgroup of the full symmetric group S_m and X is an irreducible unitary representation of G. In this paper, we introduce the generalized Cartesian symmetry class over V associated with G and X. Then we investigate some important properties of this vector space. Also, we study some basic properties of the induced linear operators on the generalized Cartesian symmetry Classes. Some open problems are also given.
Cite
@article{arxiv.2304.11917,
title = {Generalized Cartesian Symmetry Classes},
author = {Seyyed Sadegh Gholami and Yousef Zamani},
journal= {arXiv preprint arXiv:2304.11917},
year = {2023}
}
Comments
16 pages