Bi-element representations of ternary groups
Group Theory
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Rings and Algebras
Representation Theory
Abstract
General properties of ternary semigroups and groups are considered. The bi-element representation theory in which every representation matrix corresponds to a pair of elements is built, connection with the standard theory is considered and several concrete examples are constructed. For clarity the shortened versions of classical Gluskin-Hossz\'{u} and Post theorems are given for them.
Cite
@article{arxiv.math/0306210,
title = {Bi-element representations of ternary groups},
author = {Andrzej Borowiec and Wieslaw A. Dudek and Steven Duplij},
journal= {arXiv preprint arXiv:math/0306210},
year = {2007}
}
Comments
18 pages, AmSLaTeX