On minimal symplectic alternating algebras
Rings and Algebras
2024-07-04 v2
Abstract
The structure of nilpotent symplectic algebras of maximal class has been studied in [8, 5]. In this paper, we study the dual subclass of algebras of minimal class. In particular, we show that symplectic alternating algebras of dimension up to that are minimal, in the sense that they are of rank with minimum nilpotency class, have a class that confirm a conjecture that has been raised in [3].
Cite
@article{arxiv.2311.11987,
title = {On minimal symplectic alternating algebras},
author = {Layla Sorkatti and Özlem Uğurlu and Manisha Varahagiri},
journal= {arXiv preprint arXiv:2311.11987},
year = {2024}
}
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17 pages