Subregular J-Rings of the Finite Irreducible Coxeter Systems
Rings and Algebras
2025-12-05 v2
Abstract
In previous papers, the author showed that in many cases of interest there exists an isomorphism between certain path algebras related to the structure of the subregular J-rings of Coxeter systems and matrix rings over a free product of rings. For the finite irreducible Coxeter systems, the application of the isomorphism theorems was straightforward in all but a few cases. In this paper we show how the isomorphism theorems can be applied to show that the path algebras in the remaining cases are isomorphic to a direct sum of matrix rings over the rational numbers or over a direct product of field extensions of the rational numbers.
Keywords
Cite
@article{arxiv.2107.11425,
title = {Subregular J-Rings of the Finite Irreducible Coxeter Systems},
author = {Annette Pilkington},
journal= {arXiv preprint arXiv:2107.11425},
year = {2025}
}