Homogeneous involution on graded division algebras and their polynomial identities
Rings and Algebras
2024-02-06 v1
Abstract
In this short note, we describe the so-called homogeneous involution on finite-dimensional graded-division algebra over an algebraically closed field. We also compute their graded polynomial identities with involution. As pointed out by L. Fonseca and T. de Mello, a homogeneous involution naturally appears when dealing with graded polynomial identities and a compatible involution.
Keywords
Cite
@article{arxiv.2207.13562,
title = {Homogeneous involution on graded division algebras and their polynomial identities},
author = {Felipe Yukihide Yasumura},
journal= {arXiv preprint arXiv:2207.13562},
year = {2024}
}