Effective computation of $\mathrm{SO}(3)$ and $\mathrm{O}(3)$ linear representations symmetry classes
Representation Theory
2019-12-25 v4
Abstract
We propose a general algorithm to compute all the symmetry classes of any or linear representation. This method relies on the introduction of a binary operator between sets of conjugacy classes of closed subgroups, called the clips. We compute explicit tables for this operation which allows to solve definitively the problem.
Keywords
Cite
@article{arxiv.1709.01776,
title = {Effective computation of $\mathrm{SO}(3)$ and $\mathrm{O}(3)$ linear representations symmetry classes},
author = {Marc Olive},
journal= {arXiv preprint arXiv:1709.01776},
year = {2019}
}