Group gradings on triangularizable algebras
Rings and Algebras
2024-06-28 v2
Abstract
Classifying isomorphism classes of group gradings on algebras presents a compelling challenge, particularly within the realms of non-simple and infinite-dimensional algebras, which have been relatively unexplored. This study focuses on a kind of algebra that is neither simple nor finite-dimensional, aiming to classify the group gradings on triangularizable algebras as defined by Mesyan in 2019. The topology of infinite-dimensional algebras, along with the role of idempotent elements, plays a crucial role in our findings, leading to new insights and a deeper understanding of their structure.
Cite
@article{arxiv.2301.00868,
title = {Group gradings on triangularizable algebras},
author = {Waldeck Schützer and Felipe Yukihide Yasumura},
journal= {arXiv preprint arXiv:2301.00868},
year = {2024}
}