Nilpotent Symplectic Alternating Algebras
Rings and Algebras
2024-07-08 v2
Abstract
We develop a structure theory for nilpotent symplectic alternating algebras. We then give a classification of all nilpotent symplectic alternating algebras of dimension up to 10 over any field. The study reveals a new subclasses of powerful groups that we call powerfully nilpotent groups and powerfully soluble groups.
Cite
@article{arxiv.2405.15091,
title = {Nilpotent Symplectic Alternating Algebras},
author = {Layla Hamad Elnil Mugbil Sorkatti},
journal= {arXiv preprint arXiv:2405.15091},
year = {2024}
}
Comments
125 pages, PhD thesis